Convert hexadecimal numbers to binary instantly. The tool validates your input, supports very large integers, and shows clear conversion steps.
Enter a hexadecimal value and convert it to binary or decimal. Hexadecimal uses digits 0–9 and letters A–F.
The explanation updates as you type. For very large numbers, the tool keeps the result exact and summarizes the method instead of displaying an overly long step list.
BigInt for integer conversion, so large whole numbers are handled exactly instead of being rounded like regular floating-point numbers.
The binary system is base-2. It uses only two digits: 0 and 1.
The hexadecimal system is base-16. It uses digits 0–9 and letters A, B, C, D, E and F, where A equals 10 and F equals 15.
Hexadecimal is a compact way to write binary data because one hexadecimal digit represents exactly four binary bits.
To convert hexadecimal to binary, replace each hex digit with its four-bit binary equivalent. Then join the groups together.
1 = 0001
B = 1011
7 = 0111
E = 1110
1B7E₁₆ = 1101101111110₂
Leading zeros are usually removed from the final binary value unless the value must fit a fixed-width format.
Each hexadecimal digit maps to one four-bit binary group. This makes conversion faster than converting through decimal first.
0=0000 1=0001 2=0010 3=0011
4=0100 5=0101 6=0110 7=0111
8=1000 9=1001 A=1010 B=1011
C=1100 D=1101 E=1110 F=1111
For example, hex FF becomes 11111111 because F maps to 1111 and the two groups are joined.
Binary is used internally by digital systems. Hexadecimal is often used by humans to read and write the same data more compactly.
You will often see hexadecimal in memory addresses, machine code, bitmasks, Unicode code points, web color values, checksums and debugging tools.