Numerical representation

Numerical representation (computers)

Numerical data in a computer are written in basic units of storage made up of a fixed number of consecutive bits. The most commonly used units in the computer and communication industries are the byte (8 consecutive bits), the word (16 consecutive bits), and the double word (32 consecutive bits). A number is represented in each of these units by setting the bits according to the binary representation of the number. By convention the bits in a byte are numbered, from right to left, beginning with zero. Thus, the rightmost bit is bit number 0 and the leftmost bit is number 7. The rightmost bit is called the least significant bit, and the leftmost bit is called the most significant bit. Higher units are numbered also from right to left. In general, the rightmost bit is labeled 0 and the leftmost bit is labeled (n - 1), where n is the number of bits available. See Bit

Since each bit may have one of two values, 0 or 1, n bits can represent 2n different unsigned numbers. The range of these nonnegative integers varies from 0 to 2n - 1. To represent positive or negative numbers, one of the bits is chosen as the sign bit. By convention, the leftmost bit (or most significant bit) is considered the sign bit. A value of 0 in the sign bit indicates a positive number, whereas a value of 1 indicates a negative one. A similar convention is followed for higher storage units, including words and double words. Various conventions exist for representing integers and real numbers.

References in periodicals archive ?
The RAMP shall be based on a Consequence of Failure (CoF) and Likelihood of Failure (LoF) risk for each asset, the CoF being a numerical representation of the direct and indirect impacts that would result from an asset failure (based on economic, social, and environmental costs) and the LoF being a calculated numerical representation of the probability of an asset failure.
The IVF utilises scientific visualisation to create 3D images and graphics that aid in the analysis of complex numerical representation.
Like-minded in his numerical representation is Robert Cowell, who sees Emerald Wilderness as very much his number-one contender.
Icon arrays were a useful addition to both types of numerical representation, 80% versus 60%, F(1,222) = 13.
O'Brien holds the strongest numerical representation in a race which provided him with his first classic success, just three years ago.
Women continue to lag significantly behind their male counterparts in numerical representation in the halls of parliament, particularly in our elective assemblies.
Of course Dolores Ruth has been getting most the headlines and she is now responsible for the first two in the betting in most ante-post lists, but having seen Makeshift depart somewhat unfortunately on Saturday, her team is down to the Razldazls George and Jayfkay so Peter Cronin is the Irish handler with strongest numerical representation as he has Jonny Whitesox, Rockview Head and Springlawn Bert remaining.
Despite their strong numerical representation, Munster fans will be disappointed that David Wallace and, in particular the impressive Alan Quinlan, must settle for a place in the A squad.
This can be seen, for example, in the understanding of ~gender~ as simply concerned with the numerical representation of the two sexes in most quantitative analyses.
With four entries left in, Godolphin has the strongest numerical representation.

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