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Prove the following identities a. A‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C‾ b. AB + ABC + A‾ B + AB‾C = B + AC
Ans.
a. LHS = A'B'C' + A'BC' + AB'C' + ABC'= A'C' (B' + B) + AC' (B' + B)= A'C' + AC' [as B'+B = 1]= C' (A' + A)= C' [since A'+A =1]= RHS.Thus Provedb. LHS = AB + ABC + A'B + AB'C
= B + AC= B (A + A') + AC (B + B')= B + AC [as B + B' = A + A' = 1]= B + AC= RHS.Thus Proved
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Simplify the Boolean expression F = C(B + C)(A + B + C). Ans. Simplification of the given Boolean Expression F = C (B +C) (A+B+C) given as F = C (B+C) (A+B+C) = CB + CC [(A+B+C
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c programming code for pebble merchant
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