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
hexa-decimal number system

Therefore, 391710 = F4D16

Binary Numbers

  • 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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