SN7482 Two-Bit Adder -- Logic Equations

C1 = C0A1 + C0B1 + A1B1 (4.20)

?1 = C0C1? + A1C1? + B1C1? + A1B1C0

= C1?(C0 + A1 + B1) + A1B1C0

= (C0?+A1?)(C0?+B1?)(A1?+B1?) (C0 +A1+B1) +A1B1C0

= (C0?+ A1?B1?)(A1?+B1?)(C0 +A1+B1) +A1B1C0 (4.21)

= [C0?(A1+B1)+ C0A1?B1?](A1?+B1?)+A1B1C0

= C0?A1B1?+C0?A1?B1+C0A1?B1?+A1B1C0

= C0 ? A1 ? B1

Similarly

C2 = C1A2 + C1B2 + A2B2 (4.22)

?2 = C1 ? A2 ? B2

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