Aspire Faculty ID #15000 · Topic: UGC NET Computer Science 26 June 2025 (Paper II) · Just now
UGC NET Computer Science 26 June 2025 (Paper II)

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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