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Question

Which of the circuits in figure (a to d) is the sum-of-products implementation of figure (e)?
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A
a
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B
b
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C
c
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D
d
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Solution

The correct option is D d
In figure e , the expression of X is X=(EF+C¯¯¯¯¯D)AB
X=ABC¯¯¯¯¯D+ABEF
In figure d , the expression of X is X=ABC¯¯¯¯¯D+ABEF
In figure c , the expression for X is X=(A+B)(E+F)(C+¯¯¯¯¯D)
In figure b , the expression for X is X=(A+B+E+F)(A+B+C+¯¯¯¯¯D)
In figure a , the expression for X is X=ABC¯¯¯¯¯DEF
Therefore the correct option is D

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