🔢Number Bases Converter

Convert Hexadecimal to Binary

Live bidirectional calculator for Hexadecimal (HEX) and Binary (BIN) with verified formula and conversion charts.

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Number Bases4 units

🔍ESC to clear

From

Two's Complement Signed

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How the Calculation Works (Radix Base Conversion)

Formula:

Binary = convertBase(Hexadecimal, 16 → 2)

Substitution:Base 16 value "1" mapped to Base 2

Calculated Result:1 BIN

Arbitrary-precision integer conversion using BigInt representation.

Hexadecimal to Binary Conversion Table

Precomputed values for quick reference and printing.

Hexadecimal → Binary(HEX → BIN)

Hexadecimal	Binary
1 HEX	1 BIN
2 HEX	10 BIN
4 HEX	100 BIN
8 HEX	1000 BIN
A HEX	1010 BIN
F HEX	1111 BIN
10 HEX	10000 BIN
20 HEX	100000 BIN
40 HEX	1000000 BIN
64 HEX	1100100 BIN
80 HEX	10000000 BIN
FF HEX	11111111 BIN
100 HEX	100000000 BIN
200 HEX	1000000000 BIN
400 HEX	10000000000 BIN

Binary → Hexadecimal(BIN → HEX)

Binary	Hexadecimal
1 BIN	1 HEX
10 BIN	2 HEX
100 BIN	4 HEX
1000 BIN	8 HEX
1010 BIN	A HEX
1111 BIN	F HEX
10000 BIN	10 HEX
100000 BIN	20 HEX
1000000 BIN	40 HEX
1100100 BIN	64 HEX
10000000 BIN	80 HEX
11111111 BIN	FF HEX
100000000 BIN	100 HEX
1000000000 BIN	200 HEX
10000000000 BIN	400 HEX

About Hexadecimal (HEX)

The Hexadecimal system is a positional numeral system with radix 16.

History: Used extensively in modern computing systems.

Common Uses: Data processing, hardware registers, and digital logic.

About Binary (BIN)

The Binary system is a positional numeral system with radix 2.

History: Used extensively in computer architecture.

Common Uses: Software development, memory addressing, and data encoding.

❓ Frequently Asked Questions

What is the difference between Hexadecimal and Binary?

Hexadecimal (HEX) and Binary (BIN) are positional numeral systems with different radix bases. In computer architecture, values are converted between bases using arbitrary-precision binary/hex representations.

How do I convert Hexadecimal to Binary?

Parse each digit of the Hexadecimal input according to its base powers, then repeatedly divide or format the integer into the target Binary radix digits.