Hexadecimal to binary conversion
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The document provides a detailed explanation of converting hexadecimal numbers to binary, including tables that map hexadecimal, decimal, and binary values. It includes examples of conversions for different hexadecimal values, demonstrating the process of replacing each hex digit with its corresponding 4-bit binary representation. The examples illustrate both integral and fractional parts of hexadecimal numbers during conversion.
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Hexadecimal to binary conversion
- 1. Hexadecimal Number to Binary Number Conversion Mukesh N. Tekwani 4
- 2. Table of Hexadecimal, Decimal and Binary Numbers Mukesh N. Tekwani Hexadecimal Number Decimal Number Binary Number 0 0 0000 1 1 0001 2 2 0010 3 3 0011 4 4 0100 5 5 0101 6 6 0110 7 7 0111 Hexadecimal Number Decimal Number Binary Number 8 8 1000 9 9 1001 A 10 1010 B 11 1011 C 12 1100 D 13 1101 E 14 1110 F 15 1111
- 3. Hexadecimal Number To Binary Number Conversion - Example 1 Convert (36C)h to its binary equivalent Solution: So, starting from the LSD, we replace each hex digit with its 4-bit binary equivalent. 3 6 C 0011 0110 1100 So, (36C)h = (0011 0110 1100)2 Mukesh N. Tekwani
- 4. Convert the hexadecimal number (7F.CA5)h to its binary equivalent. Convert the integral part 7F to binary: (7F)h = (0111 1111)2 • So, (7F)h = (0111 1111)h Convert the fractional part (0.CA5)h to binary: (0.CA5)h = (0.1100 1010 0101)2 • So, (0.CA5)h = (0.1100 1010 0101)2 Hexadecimal Number to Binary Number Conversion – Example 2 Mukesh N. Tekwani So, (7F.CA5)h = (0111 1111.1100 1010 0101)2