Optimized binary adder and comparator having an implicit constan

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36478603, 3401462, G06F 750, G06F 702

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059235799

ABSTRACT:
A three-input comparator, where one of the inputs is an implicit constant, is formed with a special carry-save adder (CSA) followed by carry propagation circuitry. The special CSA uses two different bit cells depending upon whether that bit position in the constant input is a one or a zero. The three-input comparator can be modified to be a three-input adder by using a full carry-propagate adder (CPA). By taking into account a priori restrictions on the possible input operands, these arithmetic circuits are smaller and more efficient than conventional adders and comparators, which must be designed to deal with all possible input operands.

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David A. Patterson & John L. Hennessy; "Computer Arithmetic: A Quantitative Approach"; Morgan Kaufmann Publishers, 1990; pp. A-42 thru A-43.
C.S. Wallace; "Computer Arithmetic"; A Suggestion for a Fast Multiplier; IEEE Transactions on Electric Computers EC-13 14-17, 1964; pp. 114-117.
Kai Hwang; "Computer Arithmetic: Principles, Architecture, and Design"; John Wiley & Sons, 1979; pp. 98-100.
Shlomo Waser and Michael J Flynn; "Introduction to Arithmetic for Digital Systems Designers"; Holt,Rinehart and Winston, 1982; pp. 103-104.

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