Convert binary numbers to hexadecimal by grouping bits into nibbles, with step-by-step mapping and the final hex result.
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Number Systems
The binary to hex converter translates binary (base-2) numbers into hexadecimal (base-16) notation. Enter a binary string and see the hex result with a step-by-step nibble grouping.
Because 16 is a power of 2, each hexadecimal digit maps to exactly four binary digits (a nibble). Group the binary number into sets of four from the right, pad with leading zeros if needed, and translate each group to its hex digit.
For example, binary 11011110 splits into 1101 and 1110, which map to D and E, giving hex DE.
The power-of-two relationship between bases 2 and 16 means no arithmetic is needed, just pattern matching. This makes hex the preferred compact notation for binary data in programming, networking, and hardware design.
Frequently asked questions
Four binary digits have 16 possible combinations (0000 to 1111), which exactly matches the 16 hex digits (0 to F).
Pad with leading zeros on the left so that the total number of bits is a multiple of four before grouping.
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