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What are the advantages of normalization?

April 26, 2017advantages Normalization

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What are the advantages of normalization?

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• Normalization guarantees that the minimum number of digits are involved in a calculation. This can speed multiplies and divides, especially in software. However, if operands are random, then only one in ten will have trailing zeros, and only one in a hundred dyadic operations will have both operands with trailing zeros. Any performance advantage of normalizing these is quite possibly negated by the extra alignments and shifts required for normalization. (The result of 27% of multiplications would need an otherwise unnecessary normalization shift, for example.) • Normalization allows more values to be encoded. Potentially 11% more values can be encoded, or a wider exponent range supported, because one digit of the coefficient would only need to take the values 1 through 9 (instead of 0 through 9). With the current layouts being discussed, it is not practical to increase the coefficient length, so the benefit is limited to increasing the exponent range. In a 64-bit layout, for example,