Neco 2018 Data Processing Question 31

Practice objective / multiple choice question 31 from the 2018 Neco Data Processing examination.

Neco 2018 Data Processing Objective / Multiple Choice Medium Difficulty
Question 31 NECO • 2018 • DATA_PROCESSING • objective

Given the Boolean function \(F(A,B,C) = \Sigma m(1,2,4,5,6,7)\), determine (i) the minimal sum‑of‑products (SOP) expression and the total number of literals in it, and (ii) the minimal product‑of‑sums (POS) expression and the total number of literals in it.

Answer Options

A. SOP: A\\overline{B} + B\\overline{C} + \\overline{A}C, literals = 6; POS: (A + \\overline{B} + \\overline{C})(\\overline{A} + B + C), literals = 6
B. SOP: \\overline{A}B + \\overline{B}C + A\\overline{C}, literals = 6; POS: (\\overline{A} + B + C)(A + \\overline{B} + \\overline{C}), literals = 7
C. SOP: A + \\overline{B}C + \\overline{A}B, literals = 5; POS: (A + B + \\overline{C})(A + \\overline{B} + C), literals = 6
Correct Answer D. SOP: A + \overline{B}C + B\overline{C}, literals = 5; POS: (A + B + C)(A + \overline{B} + \overline{C}), literals = 6
Correct Answer
D
Correct Option:
SOP: A + \overline{B}C + B\overline{C}, literals = 5; POS: (A + B + C)(A + \overline{B} + \overline{C}), literals = 6

About This Question

This is Neco 2018 Data Processing Question 31. It is one of the objective questions from the 2018 Neco Data Processing examination.

Difficulty level: Medium .

View More Neco 2018 Data Processing Questions More Neco Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support