Binary to hexadecimal conversion is the process of converting a binary (base 2) number into its hexadecimal (base 16) equivalent. Hexadecimal numbers use digits from 0 to 9 and letters A to F (where A = 10, B = 11, C = 12, D = 13, E = 14, F = 15).
Steps to Convert Binary to Hexadecimal:
Group the binary number into sets of 4 bits starting from the right. If necessary, add leading zeros to the leftmost group to make it a full group of 4 bits.
Convert each 4-bit group to its hexadecimal equivalent.
Binary 0000 = Hex 0
Binary 0001 = Hex 1
Binary 0010 = Hex 2
Binary 0011 = Hex 3
Binary 0100 = Hex 4
Binary 0101 = Hex 5
Binary 0110 = Hex 6
Binary 0111 = Hex 7
Binary 1000 = Hex 8
Binary 1001 = Hex 9
Binary 1010 = Hex A
Binary 1011 = Hex B
Binary 1100 = Hex C
Binary 1101 = Hex D
Binary 1110 = Hex E
Binary 1111 = Hex F
Write down the hexadecimal digits corresponding to each group.
Example:
Convert binary 110101110 to hexadecimal:
Group the binary number into sets of 4 bits:
110101110
→
0001
1010
1110
110101110→0001 1010 1110
Convert each group:
0001 = 1
1010 = A
1110 = E
So, binary 110101110 is 1AE in hexadecimal.