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The POS (product of sums) form of Boolean function is ∑(0,1,3,7,11), where inputs are A,B,C,D (A is MSB, and D is LSB). The equivalent minimized expression of the function is

A. \(\left( {\bar B + C} \right)\left( {\bar A + C} \right)\left( {\bar A + \bar B} \right)\left( {\bar C + D} \right)\)
B. \(\left( {\bar B + C} \right)\left( {\bar A + C} \right)\left( {\bar A + \bar C} \right)\left( {\bar C + D} \right)\)
C. \(\left( {\bar B + C} \right)\left( {\bar A + C} \right)\left( {\bar A + \bar C} \right)\left( {C + D} \right)\)
D. \(\left( {\bar B + C} \right)\left( {A + \bar B} \right)\left( {\bar A + \bar B} \right)\left( {\bar C + D} \right)\)
Answer» B. \(\left( {\bar B + C} \right)\left( {\bar A + C} \right)\left( {\bar A + \bar C} \right)\left( {\bar C + D} \right)\)


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