Binary to Hex Converter

How to convert Binary to Hex?

To convert binary to hexadecimal (base 16), you use a method similar to the octal conversion, but instead of groups of three, you use groups of four binary digits. This is because $16 = 2^4$.

Step-by-Step Method

1. Group: Starting from the rightmost digit, divide the binary number into groups of four.
2. Pad: If the leftmost group has fewer than four digits, add leading zeros to make it a full set of four.
3. Translate: Convert each 4-bit group into its equivalent hexadecimal digit ($0–9$ and $A–F$).
4. Combine: Join the hex digits together.

Hexadecimal Conversion Table

Binary (4-bit)	Hex Digit	Binary (4-bit)	Hex Digit
0000	0	1000	8
0001	1	1001	9
0010	2	1010	A
0011	3	1011	B
0100	4	1100	C
0101	5	1101	D
0110	6	1110	E
0111	7	1111	F

Example: Convert $11010110_2$ to Hex

• Step 1 & 2 (Group and Pad):

  $(1101) (0110)$

  (No padding required here as both groups already have four digits.)

• Step 3 (Translate):

  • $1101 = D$

  • $0110 = 6$

• Step 4 (Combine):

  $D6_{16}$

Therefore, $11010110_2 = D6_{16}$.