Binary to Hexadecimal Converter

To convert an 8-bit binary number to its hexadecimal representation:

1. Split the 8-bit binary number into two 4-bit groups (nibbles).
2. Convert each 4-bit group to its hexadecimal equivalent.
3. Concatenate the hexadecimal equivalents to form the hexadecimal number.

Correspondence between Binary Nibbles and Hexadecimal Digits

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

Example: Convert Binary 10111010 to Hexadecimal

Binary number: 10111010

1. Split the binary number into two 4-bit groups (nibbles):
   • The first nibble is 1011.
   • The second nibble is 1010.
2. Convert each 4-bit group to its hexadecimal equivalent:
   • The hexadecimal equivalent of 1011 is B.
   • The hexadecimal equivalent of 1010 is A.
3. Concatenate the hexadecimal equivalents to form the hexadecimal number:
   • The hexadecimal number formed is BA.

So, the hexadecimal representation of the binary number 10111010 is BA.