Hexadecimal to binary conversion is the process of converting a hexadecimal (base 16) number into its binary (base 2) equivalent. Each hexadecimal digit corresponds to a 4-bit binary representation.
Steps to Convert Hexadecimal to Binary:
Write down the hexadecimal number.
Convert each hexadecimal digit to its 4-bit binary equivalent.
Hex 0 = Binary 0000
Hex 1 = Binary 0001
Hex 2 = Binary 0010
Hex 3 = Binary 0011
Hex 4 = Binary 0100
Hex 5 = Binary 0101
Hex 6 = Binary 0110
Hex 7 = Binary 0111
Hex 8 = Binary 1000
Hex 9 = Binary 1001
Hex A = Binary 1010
Hex B = Binary 1011
Hex C = Binary 1100
Hex D = Binary 1101
Hex E = Binary 1110
Hex F = Binary 1111
Combine the 4-bit binary equivalents of each hex digit.
Example:
Convert hexadecimal 1A3 to binary:
Write down the hexadecimal number: 1A3
Convert each hex digit to binary:
1 = 0001
A = 1010
3 = 0011
Combine the binary digits:
1
𝐴
3
→
0001
1010
0011
1A3→0001 1010 0011
So, 1A3 in hexadecimal is 000110100011 in binary.