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nor

how to draw a circuit diagram with only using nor and not gates?


I am approaching with double invert, with ~(~Y) but cannot find the way to draw a circuit diagram of Y=A(B+CD).

Any advice would really be appreciated !


Solution

  • ~(X nor Y) is (X or Y)

    (~X nor ~Y) is (X and Y)

    ~(~X) is X

    So,

    CD = (~C nor ~D)

    B+CD = ~(B nor (~C nor ~D))

    A(B+CD) = ~A nor ~(~(B nor (~C nor ~D))) = ~A nor (B nor (~C nor ~D))