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The complement of the reduced expression of is:

Computer Science20251 markMCQ
The complement of the reduced expression of $F(A, B) = \Sigma (0, 1, 2, 3)$ is:
  • (a)1
  • (b)$A \cdot B$
  • (c)0
  • (d)$A' + B'$

Answer

Answer

Official answer key

Correct option: (c)

Answer: (c) 0 For 2 variables A and B there are only 4 possible minterms (0,1,2,3), and $F(A,B)=\Sigma(0,1,2,3)$ includes all of them, so the reduced expression is $F=1$ (always true). The complement of this reduced expression is therefore $1'=0$.
Boolean Algebra

From ISC 2025 Specimen Computer Science Paper 1, question 1(v).