Conversion binary to decimal
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The decimal numeral system uses ten possible values from 0 to 9 for each place value, while the binary system uses two values, 0 and 1. To specify the base of a number, the base can be written as a subscript. Understanding how to convert between decimal and binary is important for computer programmers as computers use the binary system internally. The document then provides examples of converting decimal numbers to binary and vice versa.
Conversion binary to decimal
- 2. The decimal (base ten) numeral system has ten possible values (0,1,2,3,4,5,6,7,8, or 9) for each place-value. In contrast, the binary (base two) numeral system has two possible values, often represented as 0 or 1, for each place-value. To avoid confusion while using different numeral systems, the base of each individual number may be specified by writing it as a subscript of the number. For example, the decimal number 156 may be written as 15610 and read as "one hundred fifty-six, base ten". The binary number 10011100 may be specified as "base two" by writing it as 100111002. Since the binary system is the internal language of electronic computers, serious computer programmers should understand how to convert from decimal to binary. Here's how to do it.
- 7. Convert the following decimal into binary 1.124 2.245 3.80 4.78 5.100
- 14. Convert the following Binary numbers into Decimal 1.110100012 2.110012 3. 111100012