binarytohexadecimal

Binary to hexadecimal is the process of converting binary numbers into hexadecimal form. In hexadecimal, digits range from 0 to 9 and A to F, and each hex digit represents four binary bits, called a nibble. Because four binary bits cover 16 values, every group of four bits maps to a single hex digit.

To convert a binary number to hex, group the binary digits into 4-bit blocks starting from the right. If the leftmost block has fewer than four bits, pad with leading zeros. Then replace every 4-bit block with its hex equivalent. A common mapping is 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. Concatenate the results to obtain the final hexadecimal representation.

Example: the binary 10111001 converts to 1011 1001, which is B9 in hex. Another example: 110111101010 becomes 1101 1110 1010, which is DEA.

Leading zeros do not affect the value, and hex digits can be written in upper or lower case. Hexadecimal is widely used for compact representations of binary data, memory addresses, and color codes in web design, where each pair of hex digits encodes one color channel.

In software, conversions are typically supported by programming languages and calculators. Many languages offer direct functions to convert between binary and hexadecimal or to format numbers as hex strings, simplifying both manual and automated conversions.