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8 input AND gate
8 input AND gateHalf Adder
Half Adder8 Input Exclusive OR gate
8 Input Exclusive OR gate1's Complement
1's Complement8 INPUT OR GATE
8 INPUT OR GATEAND+NAND
AND+NANDNOT+NOR
NOT+NORCombinational circuit
Combinational circuit2's complement
2's complementZ=A+B.C`
Z=A+B.C`D=(A.B)+(C`.A)
D=(A.B)+(C`.A)X=Y+Z.Y`
X=Y+Z.Y`W=((XY')(Y+Z))'
W=((XY')(Y+Z))'Y=AC+B'C+ABC'
Y=AC+B'C+ABC'Q=AB+BC(B+C)
Q=AB+BC(B+C)(WXYZ)'=W'+X'+Y'+Z'
(WXYZ)'=W'+X'+Y'+Z'((A+B)'+C')'=((A+B)')'(C')'=(A+B)C
((A+B)'+C')'=((A+B)')'(C')'=(A+B)CFull Adder
Full AdderbOOLEAN
bOOLEANF=XZ+Y'Z+X'YZ
F=XZ+Y'Z+X'YZTwo AND gates
Two AND gatesCombinational circuit
Combinational circuit