Neco 2024 Data Processing Question 39

Practice objective / multiple choice question 39 from the 2024 Neco Data Processing examination.

Neco 2024 Data Processing Objective / Multiple Choice Medium Difficulty

Question 39 NECO • 2024 • DATA_PROCESSING • objective

Given the Boolean function \(F(A,B,C,D)=\Sigma m(1,3,4,6,9,11,12,14)\): (i) Find a minimal sum‑of‑products expression. (ii) Implement the function using only NAND gates and state the minimum number of NAND gates required.

Correct Answer A. Minimal SOP: \(\overline{B}D + B\overline{D}\) (i.e., B XOR D). Minimum NAND implementation uses 4 NAND gates.

B. Minimal SOP: \\(\\overline{B}D + B D\\) (i.e., B AND D). Minimum NAND implementation uses 3 NAND gates.

C. Minimal SOP: \\(\\overline{A}C + A\\overline{C}\\) (i.e., A XOR C). Minimum NAND implementation uses 5 NAND gates.

D. Minimal SOP: \\(\\overline{B}C + B\\overline{C}\\) (i.e., B XOR C). Minimum NAND implementation uses 4 NAND gates.

Correct Answer

Correct Option:

Minimal SOP: \(\overline{B}D + B\overline{D}\) (i.e., B XOR D). Minimum NAND implementation uses 4 NAND gates.

This is Neco 2024 Data Processing Question 39. It is one of the objective questions from the 2024 Neco Data Processing examination.

Difficulty level: Medium .

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