Multiple-bit Adder Circuits (Lecture #13). ECE 301 – Digital Electronics. The slides included herein were taken from the materials accompanying Fundamentals of Logic Design, 6 th Edition , by Roth and Kinney, and were used with permission from Cengage Learning. .
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Ripple Carry Adder
Carry Lookahead Adder
C1 = G0 + (P0 . C0)
C1 = (A0 . B0) + ((A0 + B0) . C0)
C1 = (A0 . B0) + ((A0 xor B0) . C0)
C2 = G1 + (P1 . C1)
C2 = (A1 . B1) + ((A1 + B1) . C1)
C2 = (A1 . B1) + ((A1 + B1) . ((A0 . B0) + ((A0 + B0) . C0))
C3 = G2 + (P2 . C2)
C3 = G2 + (P2 . (G1 + (P1 . C1))
C3 = G2 + (P2 . (G1 + (P1 . (G0 + (P0 . C0)))
Multiple-bit Adder/Subtractor Circuit