Which of the following pairs of equivalence of logic expressions is not true?
The equality XY + YZ + XZ′ = XY + X′Z is false. For X = 0, Y = 0 and Z = 1, its left side is 0 while its right side is 1. The other equalities follow from Boolean…
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Which of the following pairs of equivalence of logic expressions is not true?
Answer and explanation
Correct answer C
The equality XY + YZ + XZ′ = XY + X′Z is false. For X = 0, Y = 0 and Z = 1, its left side is 0 while its right side is 1. The other equalities follow from Boolean distributivity, De Morgan’s law and the sum-of-products/product-of-sums identity for the majority function.
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Jammu & Kashmir and Ladakh SET (JKSET/LASET)