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:**

B6A

= 11 × 16

= 2816 + 96 + 10

= 2922

3917

- 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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