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What is the radix of the hexadecimal number system?

Published in Number Systems 1 min read

The radix of the hexadecimal number system is 16.

Hexadecimal, also known as base-16, is a number system that uses 16 distinct symbols to represent values. These symbols are 0-9 (representing values zero to nine), and A-F (representing values ten to fifteen). The position of each digit in a hexadecimal number represents a power of 16. This is similar to how the decimal system (base-10) uses powers of 10.

Here's a simple comparison:

Number System Radix Digits Used
Decimal 10 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Hexadecimal 16 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

For example, the hexadecimal number 2A represents (2 16^1) + (10 16^0) = 32 + 10 = 42 in decimal.

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