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Previous Year Question (PYQs)

The minimum number of NAND gates required for implementing the Boolean expression $AB+A\, \overline{B}C+A\, \overline{B}\, \overline{C}$




Solution

$AB+A\, \overline{B}C+A\, \overline{B}\, \overline{C}$
=$AB+AB'C+AB'C'$
=$AB+AB'(C+C')$
=$AB+AB'$
=$A(B+B')$
=A


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