Rns versus gsd representation we are contemplating the use, Computer Engineering

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Rns versus gsd representation we are contemplating the use

Question :

RNS versus GSD representation We are contemplating the use of 16-bit representations for fast integer arithmetic. One option, radix-8 GSD representation with the digit set [-5,4], can accommodate four-digit numbers.

Another is RNS(16|15|13|11) with complement representation of negative values.

a. Compute and compare the range of representable integers in the two systems.

b. Represent the integers -+441 and -228 and add them in the two systems.

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