Binary to Hexadecimal Converter

How it is calculated

Binary to hex: the bit string is padded on the left with zeros to a multiple of 4, cut into groups of four bits (nibbles), and each nibble becomes one hex digit, printed in uppercase (1010 = A). Hex to binary: each hex digit is expanded to four bits, then leading zeros are removed, keeping at least one digit. The decimal line is the exact value Σ digit × baseposition, with positions counted from the right starting at 0; it is computed with whole-number arithmetic, so even a 64-bit all-ones input gives 18,446,744,073,709,551,615. The length line counts the bits or hex digits you typed. Input must contain only 0 and 1, or 0–9 and A–F (either case), up to 4096 bits or 1024 hex digits; longer input shows no result.

Common mistakes

• Typing spaces between nibbles (1101 0111 1010) or a 0x prefix. Both make the tool show no result; remove them first.
• Grouping the bits from the left. The groups of four must start from the right, which is why 11010 is padded to 00011010 and gives 1A, not D0.
• Expecting leading zeros back in hex to binary. 00FF becomes 11111111, while the length line still counts the four digits you typed.
• Leaving the direction on binary to hex when the input is hex. A value like FF is then rejected because it contains letters.
• Pasting a very long string without checking its size. Binary above 4096 bits or hex above 1024 digits is refused rather than truncated.