# 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
• Arithmetic Operations of Binary Numbers