Which of the following is an advantage to representing data in hexadecimal notation instead of binary notation?

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GCSE

Hexadecimal and character sets

Text and numbers can be encoded in a computer as patterns of binary digits. Hexadecimal is a shortcut for representing binary. ASCII and Unicode are important character sets that are used as standard.

Part of

Computer Science

Binary and data representation

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Hexadecimal

Hexadecimal (or hex) is a base 16 system used to simplify how binary is represented. A hex digit can be any of the following 16 digits: 0 1 2 3 4 5 6 7 8 9 A B C D E F.

Each hex digit reflects a 4-bit binary sequence.

This table shows each hex digit with the equivalent values in binary and denary.

DenaryBinaryHexadecimal
0 0000 0
1 0001 1
2 0010 2
3 0011 3
4 0100 4
5 0101 5
6 0110 6
7 0111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F

This means an 8-bit binary number can be written using only two different hex digits - one hex digit for each nibble (or group of 4-bits). It is much easier to write numbers as hex than to write them as binary numbers.

For example:

  • 11010100 in binary would be D4 in hex
  • FFFF3 in hex would be 11111111111111110011 in binary

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