Truth Table Computing?

Prove right hand side equal to left hand site by using truth table .

((A+B.C).(A.C+B))’ =A’.B’+ A’.C’+B’.C’

Fill the given table and make sure the sequence of input remains same as it is given in the table below.

A B C ((A+B.C) .(A.C+B))’ A’.B’+ A’.C’+B’.C’

0 0 0

0 0 1

0 1 0

0 1 1

1 0 0

1 0 1

1 1 0

1 1 1

1 Answer

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  • 1 decade ago
    Favorite Answer

    Make one truth table for the left hand side and another for the right hand side of the equation.

    All the values on the left hand side should be equal to the values on the right hand side.

    LHS=((A+.(B.C) A.C+B))’ RHS=A’.B’+A’.C’+B’.C’

    A B C

    0 0 0 1 1

    0 0 1 1 1

    0 1 0 1 1

    0 1 1 0 0

    1 0 0 1 1

    1 0 1 0 0

    1 1 0 0 0

    1 1 1 0 0

    Hence proven LHS=RHS

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