It is a system that uses positional notation in which the same symbol is used for different orders of magnitude, where each "place" represents a different value dependent on whichever base is being used in the case of binary, the base is 2. Each digit in binary is referred to as a bit. Thus, it has a radix, or a base number of unique digits of two. Binaryĭefinition: The binary numeral system is a base-2 numeral system that typically only uses two symbols: 0 and 1. This is partly due to it being easier for humans to read hexadecimal values than it is for them to read binary-coded values.
Both capital A-F as well as lower case a-f are used today to represent these symbols.Ĭurrent use: The hexadecimal numeral system is widely used throughout computer system design and programming. Yet others used K, S, N, J, F, and L or even F, G, J, K, Q, and W.Īs can be seen, there were many different ways in which the values of 10 through 15 were represented in the past, showing the fairly arbitrary nature of symbol choice.
In the 1950s, some used the digits 0 through 5 with a bar over each value, while others used the letters u through z. History/origin: The term hexadecimal is derived from the prefix "hexa" from Greek for "six" and "decimal," which is derived from the Latin meaning "tenth." The symbols A-F were not always used for the values 10 through 15 in the earlier instances of the hexadecimal system. For example, using the hex number AAA:ĪAA = 10 × 16 2 + 10 × 16 1 + 10 × 16 0 = 2560 + 160 + 10 = 2730Īs can be seen, although the symbols occupying the three positions shown are the same, "A," the magnitude of each is one power of 16 apart. Being a positional numeral system means that each position represents a different magnitude.
Definition: The hexadecimal numeral system is a base-16 positional numeral system that uses the same symbols as the decimal system to represent the values of zero to nine (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the letters A, B, C, D, E, and F to represent the values of ten to fifteen.
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