Hex to binary

From digits to bits

Each hexadecimal digit is exactly four bits, so converting hex to binary is a lookup: write the four-bit pattern of every digit in order. A is 1010, F is 1111, 3 is 0011. Grouping the output in nibbles keeps each digit's bits together, which makes it easy to read register maps, bit flags, IPv6 address pieces and protocol headers where each bit has a meaning.

Worked example

0x1F4 → 1 = 0001, F = 1111, 4 = 0100 → 0001 1111 0100 (500 in decimal). In a status register, this tells you at a glance which flags are set: bits 2, 4, 5, 6, 7 and 8, counting from 0 on the right.

Leading zeros

With grouping on, the first nibble keeps its leading zeros so groups align with hex digits. Turn grouping off for the shortest binary form.

The page reads the hex digits into an exact big integer and writes it in base 2. With grouping, the bits are padded on the left to a multiple of four and split into nibbles, so each group matches one hex digit of the input. Case does not matter, and 0x, spaces and underscores are ignored. The table repeats the value in decimal and octal and gives its length in bits. Each line converts separately.