Digital & Computing • hex (Base 16) → bin (Base 2)

Hexadecimal to Binary Converter

Instantly convert hexadecimal to binary with live bidirectional calculation, mathematical formula breakdown, and quick-reference snippet charts.

From

hex (Base 16)

To

bin (Base 2)

Formula bin (Base 2) = Base2(hex (Base 16))

Replace each hexadecimal digit with its 4-bit binary equivalent.

How to Convert Hexadecimal to Binary

Mathematical formulation and step-by-step conversion steps.

Conversion Formula

bin (Base 2) = Base2(hex (Base 16))

Replace each hexadecimal digit with its 4-bit binary equivalent.

Example Calculation (10 hex (Base 16))

To convert 10 hexadecimal into binary:

1. Input: 10 hex (Base 16)

2. Apply formula: bin (Base 2) = Base2(hex (Base 16))

3. Result = 10000 bin (Base 2)

Quick-Reference Conversion Table

Calculated values for common hexadecimal to binary comparisons.

Exact Precision

Hexadecimal to Binary (hex (Base 16) → bin (Base 2))

Hexadecimal (hex (Base 16))	Binary (bin (Base 2))
1 hex (Base 16)	1 bin (Base 2)
2 hex (Base 16)	10 bin (Base 2)
5 hex (Base 16)	101 bin (Base 2)
10 hex (Base 16)	10000 bin (Base 2)
20 hex (Base 16)	100000 bin (Base 2)
50 hex (Base 16)	1010000 bin (Base 2)
100 hex (Base 16)	100000000 bin (Base 2)
250 hex (Base 16)	1001010000 bin (Base 2)
500 hex (Base 16)	10100000000 bin (Base 2)
1000 hex (Base 16)	1000000000000 bin (Base 2)

Binary to Hexadecimal (bin (Base 2) → hex (Base 16))

Binary (bin (Base 2))	Hexadecimal (hex (Base 16))
1 bin (Base 2)	1 hex (Base 16)
2 bin (Base 2)	hex (Base 16)
5 bin (Base 2)	hex (Base 16)
10 bin (Base 2)	2 hex (Base 16)
20 bin (Base 2)	hex (Base 16)
50 bin (Base 2)	hex (Base 16)
100 bin (Base 2)	4 hex (Base 16)
250 bin (Base 2)	hex (Base 16)
500 bin (Base 2)	hex (Base 16)
1000 bin (Base 2)	8 hex (Base 16)

Related Digital & Computing Conversions

Explore other units frequently converted alongside hexadecimal.

Binary to Hexadecimal

bin (Base 2) → hex (Base 16)

Hexadecimal to Bits

hex (Base 16) → b

Hexadecimal to Bytes

hex (Base 16) → B

Hexadecimal to Kilobytes

hex (Base 16) → KB

Hexadecimal to Megabytes

hex (Base 16) → MB

Hexadecimal to Gigabytes

hex (Base 16) → GB

Hexadecimal to Binary FAQ

Common answers and formulas for converting hexadecimal to binary.

How many binary are in 1 hexadecimal?

1 hexadecimal (hex (Base 16)) is equal to 1 binary (bin (Base 2)).

What is the conversion formula for hex (Base 16) to bin (Base 2)?

The formula is: bin (Base 2) = Base2(hex (Base 16)). Replace each hexadecimal digit with its 4-bit binary equivalent.

How do I convert 10 hexadecimal to binary?

To convert 10 hexadecimal to binary, apply the conversion formula: 10 hex (Base 16) = 10000 bin (Base 2).

Can I reverse this calculation to convert binary to hexadecimal?

Yes, use the quick-swap button (⇄) on the converter above or visit the reverse Binary to Hexadecimal converter.