For very large integers, bases 2 32 or 2 64 ( grouping binary digits by 32 or 64, the length of the machine word ) are used, as, for example, in GMP.
22.
Therefore, the basic numbers used in computer algebra are the integers of the mathematicians, commonly represented by an unbounded signed sequence of base of numeration, usually the largest base allowed by the machine word.
23.
The non-conservative packed sorting algorithm of uses a subroutine, based on Ken Batcher's merging two sorted sequences of keys that are each short enough to be packed into a single machine word.
24.
This divisor can be chosen to be a power of two, for which division can be replaced by shifting, or a whole number of machine words, for which division can be replaced by omitting words.
25.
The language is unusual in having only one data type : a word, a fixed number of bits, usually chosen to align with the architecture's machine word and of adequate capacity to represent any valid storage address.
26.
This allowed smaller instructions, typically things with one or no operands, like NOP, to be stored in memory in a smaller 16-bit format, and for two such instructions to be packed into a single machine word.
27.
The IBM 7070, IBM 7072, and IBM 7074 computers used this code to represent each of the ten decimal digits in a machine word, although they numbered the bit positions 0-1-2-3-4, rather than with weights.
28.
The 704 hardware had special support for splitting a 36-bit machine word into four parts : an " address part " and " decrement part " of fifteen bits each, and a " prefix part " and " tag part " of three bits each.
29.
Since any computer data can be represented as one or more machine words, one generally needs hash functions for three types of domains : machine words ( " integers " ); fixed-length vectors of machine words; and variable-length vectors ( " strings " ).
30.
Since any computer data can be represented as one or more machine words, one generally needs hash functions for three types of domains : machine words ( " integers " ); fixed-length vectors of machine words; and variable-length vectors ( " strings " ).
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