A null-carry-lookahead adder is configured to generate and propagate a null-carry signal within and through blocks and groups of blocks within the adder. The null-carry signal terminates the effects of a carry input signal beyond the point at which the null-carry signal is generated. By forming rules for generating and propagating null-carry signals through blocks and groups of blocks within the adder, a maximum P-channel stack depth of two can be achieved for a four-bit adder block, thereby substantially improving the speed of the null-carry-lookahead adder, compared to a convention carry-lookahead adder that is based on generating and propagating carry signals within the adder.
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