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Unit 2 · Computer System Architecture Paper 2 CS · June 2024 (Cancelled Exam)

Match List I (Boolean expression) with List II (dual of the Boolean expression)
List IList II
A. x·y + 0I. (x̄ + 0)·(ȳ·z)
B. x̄·1 + (ȳ + z)II. (x + y)·1
C. x̄·(ȳ + 0)III. x̄ + ȳ·1
D. x·1 + (y + z̄)IV. (x + 0)·(y·z̄)

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Correct answer: C. A-II, B-I, C-III, D-IV

Explanation

The dual swaps + with · and 0 with 1. x·y + 0 → (x + y)·1 (II). x̄·1 + (ȳ + z) → (x̄ + 0)·(ȳ·z) (I). x̄·(ȳ + 0) → x̄ + ȳ·1 (III). x·1 + (y + z̄) → (x + 0)·(y·z̄) (IV).

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