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Choose the correct option.

The final expression is:

Computer Science20221 markMCQ
The final expression $F(A,B,C)$ is:
  • (i)$F = ((A + B)' \cdot C)' + (A + B)$
  • (ii)$F = (A + B)' \cdot (C + A + B)$
  • (iii)$F = ((A + B) \cdot C)' + (A + B)$
  • (iv)$F = (AB + C)' + (A + B)$
Figure for this question
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Logic diagram: inputs A and B go to an OR gate whose output is marked (1); (1) and input C go to an AND gate whose output is marked (2); (2) goes through a NOT gate whose output is marked (3); (3) and (1) go to a final OR gate whose output is F(A,B,C).

Answer

Answer

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Correct option: (iii)

Answer: (iii) $F = ((A + B) \cdot C)' + (A + B)$ The final OR gate combines point (3), $((A+B) \cdot C)'$, with point (1), $A+B$.
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From ISC 2022 Computer Science - Specimen paper (Semester 1), Paper 1, question 24(c).