16ary

16ary, also called hexadecimal, is the base-16 numeral system. It uses sixteen distinct symbols: the decimal digits 0 through 9 and the letters A through F (case-insensitive). Each digit represents a power of 16. For example, 2AF9 in hex equals 2×16^3 + 10×16^2 + 15×16 + 9, which equals 10937 in decimal.

Hex numbers are often prefixed with 0x in programming languages to distinguish them from decimal literals, and each hex digit corresponds to four binary bits (a nibble). Two hex digits form one byte, aligning naturally with common computer architectures.

Common uses include memory addresses, machine code, and color specifications in web design, where color channels are encoded as two-digit hex values in the hex triplet #RRGGBB. In computing, hex is preferred for readability and compactness when representing binary data, as it provides a concise bridge between binary and human-friendly notation.

Conversion between hex and binary is straightforward: replace each hex digit with its four-bit binary equivalent. For instance, 2AF9 equals 0010 1010 1111 1001. Converting to decimal is done by evaluating each digit’s place value in base 16 and summing the results.

Advantages of hex include compact representation and easy alignment with 4-bit units, while limitations involve reduced immediacy for nontechnical audiences and occasional ambiguity in purely decimal contexts.

See also: numeral systems, binary, decimal, octal, hexadecimal, color code, nibble.

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