Hex to binary converter

Hexadecimal and binary are two spellings of the same thing: every hex digit is exactly four bits (a nibble). Type in either field and watch the mapping, digit by digit. 0x and 0b prefixes are accepted.

Why hex and binary convert so cleanly

16 is 2⁴, so one hexadecimal digit always corresponds to exactly four binary digits. That makes conversion mechanical: replace each hex digit with its 4-bit pattern and you're done — no arithmetic required.

2F₁₆ → 2 = 0010, F = 1111 → 0010 1111₂

Binary to hex is the same trick in reverse: group the bits in fours from the right, then replace each group with its hex digit. This is why programmers write bit masks in hex — 0xFF is much easier to read than 11111111, and grouping in nibbles keeps long values legible.

Nibble reference table

Related tools and guides

• Binary ↔ decimal converter — powers of two, spelled out.
• Bitwise operations explained — AND, OR, XOR and shifts on those bits.
• Two's complement calculator — how negative numbers look in binary.