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Hexadecimal is a positional numeral system that uses sixteen symbols to represent numbers. Learn how to write, distinguish and convert hexadecimal values in mathematics and computing, and see examples of hexadecimal notation in different contexts.
IEEE 754 is a technical standard for floating-point arithmetic established by the Institute of Electrical and Electronics Engineers (IEEE). It defines formats, encodings, rounding rules, operations and exception handling for binary and decimal floating-point data.
Learn how to represent signed integers using two's complement, a common method on computers and fixed point binary values. See the procedure, theory, examples and tables of two's complement for different bit lengths.
Six hexadecimal digits of precision is roughly equivalent to six decimal digits (i.e. (6 − 1) log 10 (16) ≈ 6.02). A conversion of single precision hexadecimal float to decimal string would require at least 9 significant digits (i.e. 6 log 10 (16) + 1 ≈ 8.22) in order to convert back to the same hexadecimal float value.
Binary-coded decimal (BCD) is a binary encoding of decimal numbers where each digit is represented by a fixed number of bits, usually four or eight. Learn about the different types of BCD, their advantages and disadvantages, and their applications in computing and electronic systems.
The decimal number 0.15625 10 represented in binary is 0.00101 2 (that is, 1/8 + 1/32). (Subscripts indicate the number base .) Analogous to scientific notation , where numbers are written to have a single non-zero digit to the left of the decimal point, we rewrite this number so it has a single 1 bit to the left of the "binary point".
Learn how computers represent numeric values in binary, octal and hexadecimal systems. Find out the definitions and examples of bits, bytes, nibbles and other terms related to computer number formats.
A binary number is a number expressed in the base-2 numeral system, using only two symbols: 0 and 1. Learn about the origins and applications of binary numbers in various cultures and fields, from ancient Egypt and China to modern computers and cryptography.