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Previous Year Question (PYQs)



Consider the Boolean expression A(x, y, z) = x (y′ + z′). Which of the following is the complete sum-of-products form of the given Boolean expression?





Solution

Given,

A = x (y′ + z′)

= xy′ + xz′

To express as a complete sum-of-products, expand using all variable combinations:

= xy′(z + z′) + xz′(y + y′)

= xy′z + xy′z′ + xyz′ + xy′z′

After simplification, duplicate terms are removed:

A = xyz′ + xy′z + xy′z′



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