The document discusses basic I/O in the 8085 microprocessor, including memory interfaces and devices. It describes the common components of memory, such as address pins to select locations, data pins for reading and writing, selection pins to enable operations, and control pins. The main types of memory discussed are ROM, RAM, EPROM, and examples of addressing schemes using decoders to map memory chips into the microprocessor's address space.
Chapter 2-8085 Microprocessor Architecture and Microcomputer Systemscmkandemir
The 8085 microprocessor uses three separate busses - the address bus, data bus, and control bus - to perform operations. The 16-bit address bus allows the 8085 to access up to 64K memory locations. The 8-bit data bus transfers data between the microprocessor and memory or I/O devices in 8-bit chunks. The control bus consists of individual control signals that coordinate operations. Memory is organized into chips that are selected using address lines and chip select signals. This allows the microprocessor to access multiple memory chips within its 64K address range.
This document discusses different types of memory devices and interfaces. It describes ROM, EEPROM, SRAM, and DRAM memory types. It discusses address decoding and provides examples of memory interfaces for the 8088, 8086, 80386, and Pentium processors. The document also covers error detection techniques like parity checking, checksums, and cyclic redundancy checks (CRC). It provides an example of how Hamming codes can be used for error correction in memory.
The document provides information on the architecture of the 8085 microprocessor. It discusses the different busses used - the address bus, data bus and control bus. It describes the internal architecture of the 8085 including registers like the accumulator, flags, program counter and stack pointer. It also discusses the different types of operations like memory read/write, I/O read/write. Memory organization and addressing are explained along with the concept of memory mapping.
The programmable array logic (PAL) is a logic device with fixed OR array and a programmable AND array. It is easier to program but not as flexible as PLA.
The document discusses microprocessors and their components. It describes how a microprocessor takes in numbers, performs arithmetic or logical operations according to a stored program, and produces results. The key components of a microprocessor system are the central processing unit (CPU), memory (RAM and ROM), and input/output interfaces. The CPU contains registers, an arithmetic logic unit, and a control unit. Clocks synchronize data movement and memory is addressed using address lines. Instructions are fetched and executed in machine cycles. Registers temporarily store data and addresses during operations.
4.1 Introduction 145• In this section, we first take a gander at a.pdfarpowersarps
4.1 Introduction 145
• In this section, we first take a gander at an exceptionally straightforward PC called MARIE: A
Machine
Design that is Really Intuitive and Easy.
• We then give brief reviews of Intel and MIPS machines, two prevalent
models mirroring the CISC (Complex Instruction Set Computer) and RISC
(Diminished Instruction Set Computer) outline theories.
• The goal of this part is to give you a comprehension of how a PC
capacities.
4.1.1 CPU Basics and Organization 145
• The Central handling unit (CPU) is in charge of bringing system guidelines,
translating every direction that is brought, and executing the demonstrated succession of
operations on the right information.
• The two key parts of the CPU are the datapath and the control unit.
• The datapath comprises of a number juggling rationale unit (ALU) and capacity units
(registers)
that are interconnected by an information transport that is likewise associated with principle
memory. Check
page 29 Figure 1.4.
• Various CPU segments perform sequenced operations as indicated by signs
given by its control unit.
• Registers hold information that can be promptly gotten to by the CPU.
• They can be executed utilizing D flip-flops. A 32-bit register requires 32 D flip-flops.
• The number juggling rationale unit (ALU) completes intelligent and math operations as
coordinated by the control unit.
• The control unit figures out which activities to do as per the qualities in a
program counter enroll and a status register.
CMPS375 Class Notes Page 3/22 by Kuo-pao Yang
4.1.2 The Bus 147
• The CPU offers information with other framework segments by method for an information
transport.
• A transport is an arrangement of wires that all the while pass on a solitary piece along every
line.
• Two sorts of transports are normally found in PC frameworks: point-to-point, and
multipoint transports.
FIGURE 4.1 (a) Point-to-Point Busses; (b) A Multipoint Bus
• At any one time, stand out gadget (be it a register, the ALU, memory, or some other
segment) may utilize the transport.
• However, the sharing regularly brings about a correspondences bottleneck.
CMPS375 Class Notes Page 4/22 by Kuo-pao Yang
• Master gadget is one that starts activities and a slave reacts to demands by a
expert.
• Busses comprise of information lines, control lines, and address lines.
• While the information lines pass on bits starting with one gadget then onto the next, control
lines decide
the bearing of information stream, and when every gadget can get to the transport.
• Address lines decide the area of the source or goal of the information.
FIGURE 4.2 The Components of a Typical Bus
• In an expert slave design, where more than one gadget can be the transport expert,
simultaneous transport expert solicitations must be refereed.
• Four classifications of transport mediation are:
o Daisy chain: Permissions are passed from the most noteworthy need gadget to the
most reduced.
o Centralized parallel: Each gadget is straightforwardly ass.
The document discusses memory organization and hierarchy in a computer system. It explains that memory hierarchy is used to minimize access time by organizing memory such that frequently used parts are closer to the CPU. It describes the different levels of memory including main memory, cache memory, and auxiliary memory. It provides details on RAM, ROM, and how the computer starts up using the bootstrap loader stored in ROM. It also discusses associative memory and different mapping techniques used to transfer data between main and cache memory such as direct mapping and set-associative mapping.
DIGITAL DESIGNS SLIDES 7 ENGINEERING 2ND YEARkasheen2803
This document provides information about computer memory. It discusses the different types of memory including internal memory (cache and primary memory) and external memory (magnetic disk, optical disk). It explains that memory is divided into cells that each have a unique address. It also describes the memory hierarchy from fastest and smallest capacity (cache) to slower and larger capacity (external storage). The document discusses different memory devices including RAM, ROM, DRAM and SRAM. It provides details on how memory works including addressing, read/write cycles, and decoding. It also covers programmable logic devices like PLDs, PALs, PLAs, CPLDs and FPGAs.
The primary purpose of memory interfacing is to facilitate the transfer of da...Sindhu Mani
The document discusses memory interfacing concepts. It begins by outlining key concepts in memory interfacing such as the address bus, data bus, control signals, and memory decoding. It then discusses microprocessor interfacing, specifically I/O addressing using port-based and bus-based approaches. The document also covers interrupts, direct memory access (DMA), and the universal asynchronous receiver/transmitter (UART) component.
This document discusses memory and I/O interfacing with microprocessors. It begins by defining an interface as the point of interaction between components, allowing independent functioning through input/output systems. It then provides examples of addressing schemes like multiplexing address and data lines, and decoding techniques like exhaustive and partial decoding. Finally, it covers interfacing various memory chips like RAM, ROM and interfacing I/O devices through parallel and serial communication.
The document discusses different types of programmable logic devices including memory units, random access memory (RAM), read only memory (ROM), programmable logic arrays (PLA), programmable array logic (PAL), and complex programmable logic devices (CPLD). It describes the basic components, operations, and applications of each type of programmable logic device. Memory units can store and retrieve binary data and include RAM and ROM. RAM can be written to and read from while ROM can only be read from. PLDs like PLA and PAL provide configurable logic functions using AND and OR gates that can be programmed. CPLDs contain multiple configurable logic blocks and a programmable interconnect
This document discusses memory and I/O interfacing with the 8085 microprocessor. It defines interfaces as points of interaction between components that allow communication. Memory interfacing requires address decoding and multiplexing of address and data lines. I/O devices can be interfaced either through memory mapping or I/O mapping. Common memory types include RAM, ROM, SRAM and DRAM. RAM can be static or dynamic. ROM includes PROM, EPROM and EEPROM. A stack is a reserved part of memory used to temporarily store information during program execution.
This document provides an introduction to a course on computer organization and assembly language. It will cover the main hardware components of a computer system, including memory, the CPU, and I/O ports. It will also discuss how instructions are executed in the fetch-execute cycle. Students will learn assembly language and how it maps to the underlying machine language understood by the CPU. They will be assessed through quizzes, assignments, a project, and a final exam.
Part I:Introduction to assembly languageAhmed M. Abed
This document provides an overview of assembly language for the x86 architecture. It discusses what assembly language is, why it is used, basic concepts like data sizes, and details of the x86 architecture like its modes of operation and basic program execution registers including general purpose registers, segment registers, the EFLAGS register, and status flags.
Memory is organized in a hierarchy to balance speed, size, and cost. This includes registers, cache, main memory, and secondary storage. The memory hierarchy places faster but smaller and more expensive memory closer to the CPU. Main memory uses DRAM chips that are organized into rows and columns. Cache memory uses SRAM and exploits locality to provide faster access than main memory.
RAM (random-access memory) is a type of memory that can be accessed randomly; each byte stored at a RAM chip can be accessed directly without reading through consecutive locations. RAM is organized into words of a certain number of bits that are accessed via an address. Larger RAMs can be constructed by combining smaller RAM chips through an addressing scheme. Dynamic RAM must be regularly refreshed to maintain its data but provides higher density than static RAM.
This presentation is about the design and function of a microprocessor, how to program and how to interface it with other electronics machines and devices
This lecture discusses computer memory and its hierarchy. It begins by defining primary memory, which includes registers, cache memory, RAM, and ROM. It then describes the different types of registers in detail, including general purpose registers like the accumulator, base, counter, and data registers, as well as special purpose registers like the instruction register, memory address register, and memory buffer register.
This document provides an overview of digital components used in computer systems and architecture. It discusses integrated circuits, decoders, multiplexers, registers, and memory units. Specific topics covered include logic families, package types for integrated circuits, combinational circuits like decoders and encoders, and memory types like RAM and ROM. Register types like shift registers and designs with parallel loading are also summarized.
A 16-bit computer can address up to 65,536 memory locations, while a 32-bit computer can address 4,294,967,296 locations and a 40-bit computer can address 1,099,511,627,776 locations. Most commercial machines are byte-addressable. RAM is random access memory where any location can be accessed in a fixed amount of time regardless of its address. Dynamic RAMs need to be periodically refreshed to retain data stored in capacitors, while static RAMs retain data as long as power is supplied. Larger memories can be constructed using multiple memory chips organized into rows and columns.
4.1 Introduction 145• In this section, we first take a gander at a.pdfarpowersarps
4.1 Introduction 145
• In this section, we first take a gander at an exceptionally straightforward PC called MARIE: A
Machine
Design that is Really Intuitive and Easy.
• We then give brief reviews of Intel and MIPS machines, two prevalent
models mirroring the CISC (Complex Instruction Set Computer) and RISC
(Diminished Instruction Set Computer) outline theories.
• The goal of this part is to give you a comprehension of how a PC
capacities.
4.1.1 CPU Basics and Organization 145
• The Central handling unit (CPU) is in charge of bringing system guidelines,
translating every direction that is brought, and executing the demonstrated succession of
operations on the right information.
• The two key parts of the CPU are the datapath and the control unit.
• The datapath comprises of a number juggling rationale unit (ALU) and capacity units
(registers)
that are interconnected by an information transport that is likewise associated with principle
memory. Check
page 29 Figure 1.4.
• Various CPU segments perform sequenced operations as indicated by signs
given by its control unit.
• Registers hold information that can be promptly gotten to by the CPU.
• They can be executed utilizing D flip-flops. A 32-bit register requires 32 D flip-flops.
• The number juggling rationale unit (ALU) completes intelligent and math operations as
coordinated by the control unit.
• The control unit figures out which activities to do as per the qualities in a
program counter enroll and a status register.
CMPS375 Class Notes Page 3/22 by Kuo-pao Yang
4.1.2 The Bus 147
• The CPU offers information with other framework segments by method for an information
transport.
• A transport is an arrangement of wires that all the while pass on a solitary piece along every
line.
• Two sorts of transports are normally found in PC frameworks: point-to-point, and
multipoint transports.
FIGURE 4.1 (a) Point-to-Point Busses; (b) A Multipoint Bus
• At any one time, stand out gadget (be it a register, the ALU, memory, or some other
segment) may utilize the transport.
• However, the sharing regularly brings about a correspondences bottleneck.
CMPS375 Class Notes Page 4/22 by Kuo-pao Yang
• Master gadget is one that starts activities and a slave reacts to demands by a
expert.
• Busses comprise of information lines, control lines, and address lines.
• While the information lines pass on bits starting with one gadget then onto the next, control
lines decide
the bearing of information stream, and when every gadget can get to the transport.
• Address lines decide the area of the source or goal of the information.
FIGURE 4.2 The Components of a Typical Bus
• In an expert slave design, where more than one gadget can be the transport expert,
simultaneous transport expert solicitations must be refereed.
• Four classifications of transport mediation are:
o Daisy chain: Permissions are passed from the most noteworthy need gadget to the
most reduced.
o Centralized parallel: Each gadget is straightforwardly ass.
The document discusses memory organization and hierarchy in a computer system. It explains that memory hierarchy is used to minimize access time by organizing memory such that frequently used parts are closer to the CPU. It describes the different levels of memory including main memory, cache memory, and auxiliary memory. It provides details on RAM, ROM, and how the computer starts up using the bootstrap loader stored in ROM. It also discusses associative memory and different mapping techniques used to transfer data between main and cache memory such as direct mapping and set-associative mapping.
DIGITAL DESIGNS SLIDES 7 ENGINEERING 2ND YEARkasheen2803
This document provides information about computer memory. It discusses the different types of memory including internal memory (cache and primary memory) and external memory (magnetic disk, optical disk). It explains that memory is divided into cells that each have a unique address. It also describes the memory hierarchy from fastest and smallest capacity (cache) to slower and larger capacity (external storage). The document discusses different memory devices including RAM, ROM, DRAM and SRAM. It provides details on how memory works including addressing, read/write cycles, and decoding. It also covers programmable logic devices like PLDs, PALs, PLAs, CPLDs and FPGAs.
The primary purpose of memory interfacing is to facilitate the transfer of da...Sindhu Mani
The document discusses memory interfacing concepts. It begins by outlining key concepts in memory interfacing such as the address bus, data bus, control signals, and memory decoding. It then discusses microprocessor interfacing, specifically I/O addressing using port-based and bus-based approaches. The document also covers interrupts, direct memory access (DMA), and the universal asynchronous receiver/transmitter (UART) component.
This document discusses memory and I/O interfacing with microprocessors. It begins by defining an interface as the point of interaction between components, allowing independent functioning through input/output systems. It then provides examples of addressing schemes like multiplexing address and data lines, and decoding techniques like exhaustive and partial decoding. Finally, it covers interfacing various memory chips like RAM, ROM and interfacing I/O devices through parallel and serial communication.
The document discusses different types of programmable logic devices including memory units, random access memory (RAM), read only memory (ROM), programmable logic arrays (PLA), programmable array logic (PAL), and complex programmable logic devices (CPLD). It describes the basic components, operations, and applications of each type of programmable logic device. Memory units can store and retrieve binary data and include RAM and ROM. RAM can be written to and read from while ROM can only be read from. PLDs like PLA and PAL provide configurable logic functions using AND and OR gates that can be programmed. CPLDs contain multiple configurable logic blocks and a programmable interconnect
This document discusses memory and I/O interfacing with the 8085 microprocessor. It defines interfaces as points of interaction between components that allow communication. Memory interfacing requires address decoding and multiplexing of address and data lines. I/O devices can be interfaced either through memory mapping or I/O mapping. Common memory types include RAM, ROM, SRAM and DRAM. RAM can be static or dynamic. ROM includes PROM, EPROM and EEPROM. A stack is a reserved part of memory used to temporarily store information during program execution.
This document provides an introduction to a course on computer organization and assembly language. It will cover the main hardware components of a computer system, including memory, the CPU, and I/O ports. It will also discuss how instructions are executed in the fetch-execute cycle. Students will learn assembly language and how it maps to the underlying machine language understood by the CPU. They will be assessed through quizzes, assignments, a project, and a final exam.
Part I:Introduction to assembly languageAhmed M. Abed
This document provides an overview of assembly language for the x86 architecture. It discusses what assembly language is, why it is used, basic concepts like data sizes, and details of the x86 architecture like its modes of operation and basic program execution registers including general purpose registers, segment registers, the EFLAGS register, and status flags.
Memory is organized in a hierarchy to balance speed, size, and cost. This includes registers, cache, main memory, and secondary storage. The memory hierarchy places faster but smaller and more expensive memory closer to the CPU. Main memory uses DRAM chips that are organized into rows and columns. Cache memory uses SRAM and exploits locality to provide faster access than main memory.
RAM (random-access memory) is a type of memory that can be accessed randomly; each byte stored at a RAM chip can be accessed directly without reading through consecutive locations. RAM is organized into words of a certain number of bits that are accessed via an address. Larger RAMs can be constructed by combining smaller RAM chips through an addressing scheme. Dynamic RAM must be regularly refreshed to maintain its data but provides higher density than static RAM.
This presentation is about the design and function of a microprocessor, how to program and how to interface it with other electronics machines and devices
This lecture discusses computer memory and its hierarchy. It begins by defining primary memory, which includes registers, cache memory, RAM, and ROM. It then describes the different types of registers in detail, including general purpose registers like the accumulator, base, counter, and data registers, as well as special purpose registers like the instruction register, memory address register, and memory buffer register.
This document provides an overview of digital components used in computer systems and architecture. It discusses integrated circuits, decoders, multiplexers, registers, and memory units. Specific topics covered include logic families, package types for integrated circuits, combinational circuits like decoders and encoders, and memory types like RAM and ROM. Register types like shift registers and designs with parallel loading are also summarized.
A 16-bit computer can address up to 65,536 memory locations, while a 32-bit computer can address 4,294,967,296 locations and a 40-bit computer can address 1,099,511,627,776 locations. Most commercial machines are byte-addressable. RAM is random access memory where any location can be accessed in a fixed amount of time regardless of its address. Dynamic RAMs need to be periodically refreshed to retain data stored in capacitors, while static RAMs retain data as long as power is supplied. Larger memories can be constructed using multiple memory chips organized into rows and columns.
Reese McCrary_ The Role of Perseverance in Engineering Success.pdfReese McCrary
Furthermore, perseverance in engineering goes hand in hand with ongoing professional growth. The best engineers never stop learning. Whether improving technical skills or learning new software tools, they understand that innovation doesn’t stop with completing one project. They habitually stay current with the latest advancements, seeking continuous improvement and refining their expertise.
The use of huge quantity of natural fine aggregate (NFA) and cement in civil construction work which have given rise to various ecological problems. The industrial waste like Blast furnace slag (GGBFS), fly ash, metakaolin, silica fume can be used as partly replacement for cement and manufactured sand obtained from crusher, was partly used as fine aggregate. In this work, MATLAB software model is developed using neural network toolbox to predict the flexural strength of concrete made by using pozzolanic materials and partly replacing natural fine aggregate (NFA) by Manufactured sand (MS). Flexural strength was experimentally calculated by casting beams specimens and results obtained from experiment were used to develop the artificial neural network (ANN) model. Total 131 results values were used to modeling formation and from that 30% data record was used for testing purpose and 70% data record was used for training purpose. 25 input materials properties were used to find the 28 days flexural strength of concrete obtained from partly replacing cement with pozzolans and partly replacing natural fine aggregate (NFA) by manufactured sand (MS). The results obtained from ANN model provides very strong accuracy to predict flexural strength of concrete obtained from partly replacing cement with pozzolans and natural fine aggregate (NFA) by manufactured sand.
"Feed Water Heaters in Thermal Power Plants: Types, Working, and Efficiency G...Infopitaara
A feed water heater is a device used in power plants to preheat water before it enters the boiler. It plays a critical role in improving the overall efficiency of the power generation process, especially in thermal power plants.
🔧 Function of a Feed Water Heater:
It uses steam extracted from the turbine to preheat the feed water.
This reduces the fuel required to convert water into steam in the boiler.
It supports Regenerative Rankine Cycle, increasing plant efficiency.
🔍 Types of Feed Water Heaters:
Open Feed Water Heater (Direct Contact)
Steam and water come into direct contact.
Mixing occurs, and heat is transferred directly.
Common in low-pressure stages.
Closed Feed Water Heater (Surface Type)
Steam and water are separated by tubes.
Heat is transferred through tube walls.
Common in high-pressure systems.
⚙️ Advantages:
Improves thermal efficiency.
Reduces fuel consumption.
Lowers thermal stress on boiler components.
Minimizes corrosion by removing dissolved gases.
We introduce the Gaussian process (GP) modeling module developed within the UQLab software framework. The novel design of the GP-module aims at providing seamless integration of GP modeling into any uncertainty quantification workflow, as well as a standalone surrogate modeling tool. We first briefly present the key mathematical tools on the basis of GP modeling (a.k.a. Kriging), as well as the associated theoretical and computational framework. We then provide an extensive overview of the available features of the software and demonstrate its flexibility and user-friendliness. Finally, we showcase the usage and the performance of the software on several applications borrowed from different fields of engineering. These include a basic surrogate of a well-known analytical benchmark function; a hierarchical Kriging example applied to wind turbine aero-servo-elastic simulations and a more complex geotechnical example that requires a non-stationary, user-defined correlation function. The GP-module, like the rest of the scientific code that is shipped with UQLab, is open source (BSD license).
RICS Membership-(The Royal Institution of Chartered Surveyors).pdfMohamedAbdelkader115
Glad to be one of only 14 members inside Kuwait to hold this credential.
Please check the members inside kuwait from this link:
https://www.rics.org/networking/find-a-member.html?firstname=&lastname=&town=&country=Kuwait&member_grade=(AssocRICS)&expert_witness=&accrediation=&page=1
How to Buy Snapchat Account A Step-by-Step Guide.pdfjamedlimmk
Scaling Growth with Multiple Snapchat Accounts: Strategies That Work
Operating multiple Snapchat accounts isn’t just a matter of logging in and out—it’s about crafting a scalable content strategy. Businesses and influencers who master this can turn Snapchat into a lead generation engine.
Key strategies include:
Content Calendars for Each Account – Plan distinct content buckets and themes per account to avoid duplication and maintain variety.
Geo-Based Content Segmentation – Use location-specific filters and cultural trends to speak directly to a region's audience.
Audience Mapping – Tailor messaging for niche segments: Gen Z, urban youth, gamers, shoppers, etc.
Metrics-Driven Storytelling – Use Snapchat Insights to monitor what type of content performs best per account.
Each account should have a unique identity but tie back to a central brand voice. This balance is crucial for brand consistency while leveraging the platform’s creative freedoms.
How Agencies and Creators Handle Bulk Snapchat Accounts
Digital agencies and creator networks often manage dozens—sometimes hundreds—of Snapchat accounts. The infrastructure to support this requires:
Dedicated teams for each cluster of accounts
Cloud-based mobile device management (MDM) systems
Permission-based account access for role clarity
Workflow automation tools (Slack, Trello, Notion) for content coordination
This is especially useful in verticals such as music promotion, event marketing, lifestyle brands, and political outreach, where each campaign needs targeted messaging from different handles.
The Legality and Risk Profile of Bulk Account Operations
If your aim is to operate or acquire multiple Snapchat accounts, understand the risk thresholds:
Personal Use (Low Risk) – One or two accounts for personal and creative projects
Business Use (Medium Risk) – Accounts with aligned goals, managed ethically
Automated Bulk Use (High Risk) – Accounts created en masse or used via bots are flagged quickly
Snapchat uses advanced machine learning detection for unusual behavior, including:
Fast switching between accounts from the same IP
Identical Snap stories across accounts
Rapid follower accumulation
Use of unverified devices or outdated OS versions
To stay compliant, use manual operations, vary behavior, and avoid gray-market account providers.
Smart Monetization Through Multi-Account Snapchat Strategies
With a multi-account setup, you can open doors to diversified monetization:
Affiliate Marketing – Niche accounts promoting targeted offers
Sponsored Content – Brands paying for story placement across multiple profiles
Product Launch Funnels – Segment users by interest and lead them to specific landing pages
Influencer Takeovers – Hosting creators across multiple themed accounts for event buzz
This turns your Snapchat network into a ROI-driven asset instead of a time sink.
Conclusion: Build an Ecosystem, Not Just Accounts
When approached correctly, multiple Snapchat accounts bec
When we associate semantic rules with productions, we use two notations:
Syntax-Directed Definitions
Translation Schemes
Syntax-Directed Definitions:
give high-level specifications for translations
hide many implementation details such as order of evaluation of semantic actions.
We associate a production rule with a set of semantic actions, and we do not say when they will be evaluated.
Translation Schemes:
indicate the order of evaluation of semantic actions associated with a production rule.
In other words, translation schemes give a little bit information about implementation details.
Relations and Functions – Understanding the Foundation of Mathematics.pptxsrmvalliammaicse2
Title: Relations and Functions – Understanding the Foundation of Mathematics
This presentation provides a comprehensive overview of relations and functions, which are core concepts in algebra and essential tools in various fields such as computer science, physics, engineering, and economics. The goal is to help students understand how data and variables interact through rules and mappings.
We begin with the definition of a relation, explaining it as a set of ordered pairs that connects elements from one set (domain) to another (codomain). The presentation covers different ways to represent relations—through arrow diagrams, tables, graphs, and set notation. It also highlights important types of relations: reflexive, symmetric, transitive, and equivalence relations, with clear examples to illustrate each type.
Moving on to functions, we explore the idea of a special kind of relation in which every input has exactly one output. The presentation explains the criteria that distinguish a function from a general relation and elaborates on various types of functions such as linear, quadratic, polynomial, exponential, logarithmic, and piecewise functions. Special attention is given to domain and range, how to determine them, and their importance in real-world scenarios.
Graphical interpretation plays a significant role in this presentation. We illustrate how graphs of functions help in visualizing behavior, trends, and continuity. The Vertical Line Test is explained as a method to identify whether a graph represents a function. The concept of one-to-one functions and inverse functions is introduced, with examples showing how to find inverses algebraically and graphically.
To bridge theory with application, the presentation includes practical examples where relations and functions are used, such as tracking population growth, measuring speed over time, and modeling financial interest.
Finally, the presentation ends with a recap of key differences between relations and functions, a summary of important properties, and a few interactive problems to test understanding.
This PowerPoint is designed to not only provide theoretical knowledge but also foster critical thinking and real-world application of mathematical concepts related to relations and functions.
PRIZ Academy - Functional Modeling In Action with PRIZ.pdfPRIZ Guru
This PRIZ Academy deck walks you step-by-step through Functional Modeling in Action, showing how Subject-Action-Object (SAO) analysis pinpoints critical functions, ranks harmful interactions, and guides fast, focused improvements. You’ll see:
Core SAO concepts and scoring logic
A wafer-breakage case study that turns theory into practice
A live PRIZ Platform demo that builds the model in minutes
Ideal for engineers, QA managers, and innovation leads who need clearer system insight and faster root-cause fixes. Dive in, map functions, and start improving what really matters.
In tube drawing process, a tube is pulled out through a die and a plug to reduce its diameter and thickness as per the requirement. Dimensional accuracy of cold drawn tubes plays a vital role in the further quality of end products and controlling rejection in manufacturing processes of these end products. Springback phenomenon is the elastic strain recovery after removal of forming loads, causes geometrical inaccuracies in drawn tubes. Further, this leads to difficulty in achieving close dimensional tolerances. In the present work springback of EN 8 D tube material is studied for various cold drawing parameters. The process parameters in this work include die semi-angle, land width and drawing speed. The experimentation is done using Taguchi’s L36 orthogonal array, and then optimization is done in data analysis software Minitab 17. The results of ANOVA shows that 15 degrees die semi-angle,5 mm land width and 6 m/min drawing speed yields least springback. Furthermore, optimization algorithms named Particle Swarm Optimization (PSO), Simulated Annealing (SA) and Genetic Algorithm (GA) are applied which shows that 15 degrees die semi-angle, 10 mm land width and 8 m/min drawing speed results in minimal springback with almost 10.5 % improvement. Finally, the results of experimentation are validated with Finite Element Analysis technique using ANSYS.
Interfacing PMW3901 Optical Flow Sensor with ESP32CircuitDigest
Learn how to connect a PMW3901 Optical Flow Sensor with an ESP32 to measure surface motion and movement without GPS! This project explains how to set up the sensor using SPI communication, helping create advanced robotics like autonomous drones and smart robots.
2. Memory Basics
• Memory is generally divided into locations that store a fixed amount
of data. (usually a byte)
• For the entire memory to be useable, the processor should be
capable of generating a unique address for each location.
3. • The total number of unique addresses that can be generated by the
processor is referred to as its address space.
• The size of the address space is limited by the width of the address
bus by:
Where n is the width of the address space.
• What do we really mean when we refer to a memory size of 1GB?
5. Address Connections
• All memory devices have address inputs that select a memory
location within the memory device.
• They are usually labelled from the least significant address input to ,
the most significant.
• A 1K device has 10 address pins; labelled .
• Memory addresses are usually represented in hexadecimal.
• Example: 400H represents 1K-bytes. If a memory device is decoded to
begin at address 1000H, and it is a 1K device, what is the address of
the last memory location?
• Others you should keep in mind: 1000H : 4K, 10000H : 64K, etc
7. Memory can be organized in different ways:
8 x 1 byte
or
8 x 8 bit
16 x 4 bit
64 x 1 bit
capacity of all these is 64 bits
8. Data Connections
• All memory devices have a set of data outputs or input/outputs. The
figure in slide 4 has a set of common I/O pins.
• The data connections are the points at which data is entered for
writing or extracted for reading.
• Data pins on memory devices are almost always labelled Do – D7 for an
8-bit wide memory device. (Often called byte-wide memory)
• It is however possible to have 16-bits, 4-bits, or just 1-bit wide
memory devices.
9. • Catalogue listings of memory devices often refer to memory locations
times bits per location.
• Example: 1K x 8, 16k x 1, etc.
• Memory devices are also classified according to the total bit capacity.
• Example: 1K x 8 may be listed as 8K, 64K x 4 as 256K, etc
• Variations occur across manufacturers.
10. TEST YOUR UNDERSTANDING!
• Why is the data bus bi-directional?
• If a 32 bit microprocessor system is designed to access a memory
system of total of 256 K bytes what is the data bus and the address
bus lengths of the system.
11. Selection Connections
• Each memory device has an input that selects or enables the device.
• (Refer again to image on Slide 4)
• This input is often called a chip select (CS or ) or chip enable (CE or ).
It is sometimes simply referred to as a Select (S or ) input.
• If this input is active the memory device performs a read or write. If it
is inactive, the memory device is disabled.
12. Control Connections
• All memory devices have some form of control input(s).
• This input determines what kind of action is performed on the device.
• A ROM usually has one control input, the output connection ( or gate
( input. (Why?)
• A RAM device has one or two control inputs.
• If there exists only one control input it is usually labelled .
• If there are two control inputs, they are labelled and
13. Read and Write Protocols
Timing Diagrams
• Most common method for describing a communication protocol is by
the use of timing diagrams.
• On a timing diagram, time proceeds to the right on x-axis.
• A control signal is shown with a single line and may by low or high at
some intervals.
• A signal may be active low (e.g., G’, , or G_L).
• The term assert is used to indicate that the signal is made active and
deassert means deactivated. Asserting G means set G=0.
14. • Deassert for an active low signal:
• Data signals on the other hand are usually represented by a single line
when inactive and a ‘double’ line when active.