Converting binary into hexadecimal is very simple. All we need is to remember that hexadecimal is a base 16 number.  This means that each number column can contain 16 characters.  Hexadecimal goes from 0 to F:

Decimal Number	Binary Number	Hexadecimal Number
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

EG

Using the table – 0111 in binary is 7 in hexadecimal.

Using the table – 1010 in binary is A in hexadecimal.

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Binary to 2 Digit Hexadecimal Conversion

In GCSE computer science you will be expected to convert binary into 2 digit hexadecimal.  Again we need to remember that hexadecimal is a base 16 number and each number column can go from 0-9 and A-F. 

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Example 1

Convert Binary number 10100010 into Binary

Split the binary number into a 2 column table in nibbles (4 bits).

1010	0010

Using the table above and our knowledge of binary, we can now convert the individual binary nibbles into hexadecimal. 

1010	0010
1010 = A	0010 = 2

We now simply combine these 2 hexadecimal digits:

1010 0010 = A2 in hexadecimal

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Example 2

Convert binary number 00101000 into hexadecimal

0010	1000
0010 = 2	1000 = 8

0010 1000 = 28 in hexadecimal