Binary to Hexadecimal Converter

Enter the binary number you want to convert to hexadecimal.

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How does binary to hexadecimal conversion work?
Binary to hexadecimal conversion formula
Conversion process
Examples
Binary to hexadecimal conversion table
Frequently Asked Questions

How does binary to hexadecimal conversion work?

The binary system is base 2 and the hexadecimal system is base 16. To convert, group the binary number into blocks of 4 bits (starting from the right). Then, convert each 4-bit block to its equivalent hexadecimal value. Finally, join all the hexadecimal digits to get the result.

Binary to hexadecimal conversion formula

For a binary number with n digits:

Hex = {b_{n … 0} \to h_{k} h_{k-1} \dots h_{0}} \to h_{j} = \sum_{i = 0}^{3} b_{4 j + i} \cdot 2^{i}

The bits are grouped into blocks of 4 (nibbles), and each block b_4j+3 … b_4j is converted into a hexadecimal digit h_j.

Conversion process

Write the binary number and group it into blocks of 4 bits, starting from the right (add leading zeros if necessary).
Convert each 4-bit block into its equivalent hexadecimal value (0–9 or A–F).
Combine all the obtained hexadecimal digits to form the final number in base 16.

Examples

Example 1: convert 11110010₂ to hexadecimal

(1111) (0010)

1111₂ = F, 0010₂ = 2

Result: 11110010₂ = F2₁₆.

Example 2: convert 10101111₂ to hexadecimal

(1010) (1111)

1010₂ = A, 1111₂ = F

Result: 10101111₂ = AF₁₆.

Binary to hexadecimal conversion table

Quick reference values for short binary numbers.

Binary (base 2) to hexadecimal (base 16) references
Binary	Hexadecimal
`0000`	0
`0001`	1
`0010`	2
`0011`	3
`0100`	4
`0101`	5
`0110`	6
`0111`	7
`1000`	8
`1001`	9
`1010`	A
`1011`	B
`1100`	C
`1101`	D
`1110`	E
`1111`	F

Frequently Asked Questions

How do you convert a binary number to hexadecimal?

To convert a binary number to hexadecimal, first group it into blocks of 4 bits from the right. Then, convert each block into its hexadecimal equivalent (0–9 or A–F) and combine the results.

Why are 4-bit blocks used in the conversion?

Because each hexadecimal digit represents exactly 4 bits. This makes the conversion between binary and hexadecimal straightforward and simple.

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