Question

Logic Circuits/Vlsi

Truth table and basic simplification. Table Q2 is a truth table for a logic circuit, where A. B and C are inputs and Y is the output.

Write the canonical Sum of Products (SoP) Boolean expression for Yin terms of A, B, C. Describe how you obtained the formula.

Write the canonical Product of Sums (PoS) Boolean expression for Yin terms of A, B, C. Describe how you obtained the formula.

Simplify the expression for Y obtained in Part (b) using Boolean algebra. Show your workings in detail.

Simplify the expression for Y obtained in Part (b) using Boolean algebra. Show your workings in detail.

Starting with the truth table, obtain a simplified expression for Y using a Karnaugh map. Draw the Karnaugh map, clearly showing the groupings and the Boolean algebra term corresponding to each grouping.


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