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From the logic gate diagram given below: Derive Boolean expression for X(A, B, C) and draw the…

Computer Science20255 marksLong answer
From the logic gate diagram given below:
Figure for this question
(a)[4.0]
Derive Boolean expression for X(A, B, C) and draw the truth table.
(b)[1.0]
Write the canonical expression for SUM and CARRY of a half adder.

Answer

Answer (b)

AI
For a half adder with inputs A, B: SUM = A'B + AB' (canonical SOP, equivalent to A XOR B). CARRY = A.B (canonical AND term).
Computer Hardware

From ISC 2025 Improvement Computer Science Paper 1, question 4(ii).