binarytohexadecimaltodecimal

Binary to hexadecimal conversion is the process of converting a binary number (base-2) into a hexadecimal number (base-16). The conversion is straightforward because each hexadecimal digit represents exactly four binary digits, or a nibble.

To convert, split the binary string into groups of four bits, starting from the right. If the leftmost group has fewer than four bits, pad it with leading zeros. Then replace each 4-bit group with its hexadecimal digit using the mapping: 0000=0, 0001=1, 0010=2, 0011=3, 0100=4, 0101=5, 0110=6, 0111=7, 1000=8, 1001=9, 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F. The resulting string is the hexadecimal representation of the original binary value. In many contexts, leading zeros are omitted for readability.

Example: binary 11110000_2 groups as 1111 0000, which maps to F0_16. Another example: 110100110101_2 groups as 1101 0011 0101, yielding D35_16.

Notes: For unsigned integers, the hex string directly represents the value. For binary data viewed as memory content, the same method applies regardless of sign; two's complement interpretation affects how negative values are displayed, not the bit-to-hex conversion itself. Many programming languages provide built-in functions to convert between these bases (for example, toHexString or format specifiers).

Applications include compact representation of binary data, memory addresses, and color codes in web design.