Hexa-decimal Number System
The hexa-decimal number system has a radix or base 16. It requires 16 symbols to represent a number in this system. The symbols are 0 to 9, A, B, C, D, E, F where the symbols A, B, C, D, E, F represent the decimal numbers 10, 11, 12, 13, 14, 15 respectively. Let us recall the conversion table for the decimal numbers 0 to 15 and their binary, octal and hexa-decimal equivalents.
The conversion of hexa-decimal numbers to their decimal equivalents is straight-forward and follows the same rules as that of octal or binary to decimal. Similarly, conversion of decimal to hexa-decimal may be worked out with the help of division or multiplication, as the case may be, by the radix 16.
The example on hexa-decimal number system will help us to understand the procedure:
1. Convert B6A16 to its decimal equivalent.Solution:
B6A16
= 11 × 162 + 6 × 161 + 10 × 160
= 2816 + 96 + 10
= 292210
Therefore, B6A16 = 292210
2. Convert 391710 to its hexa-decimal equivalent
Solution:
391710
Therefore, 391710 = F4D16
- Why Binary Numbers are Used
- Binary to Decimal Conversion
- Conversion of Numbers
- Hexa-decimal Number System
- Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
- Octal and Hexa-Decimal Numbers
- Signed-magnitude Representation
- Radix Complement
- Diminished Radix Complement
- Arithmetic Operations of Binary Numbers
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