• Since F is equivalent to a binary number1111₂ the hexadecimal number are therefore represented using4 digits as shown in the table below

Hexadecimal digit	Decimal equivalent	Binary equivalent
00	00	0000
01	01	0001
02	02	0010
03	03	0011
04	04	0100
05	05	0101
06	06	0110
07	07	0111
08	08	1000
09	09	1001
A	10	1010
B	11	1011
C	12	1100
D	13	1101
E	14	1110
F	15	1111

The simplest method of converting a hexadecimal number to binary is to express each hexadecimal digit as a four bit binary digit number and then arranging the group according to their corresponding positions as shown in example

Example 1

Convert 321₁₆

Hexadecimal digit	3	2	1
Binary equivalent	0011	0010	0001

Combining the three sets of bits, we get 001100100001₂

321₁₆ = 001100100001₂

Example 2

Convert 5E6₁₆ into binary

Hexadecimal digit

	5	E	6
Binary equivalent	0101	1110	0110

5E616 = 010111100110₂