ECE GATE 2017 Question No 43 Digital circuits

Question No. 43 ECE | GATE 2017

Which one of the following gives the simplified sum of products expression for the Boolean function $F = m_{0} + m_{2} + m_{3} + m_{5}$ , where $ m_0,\;m_2,\;m_3$ and $m_5$ are minterms corresponding to the inputs A,B and C with A as the MSB and C as the LSB?

(A) $ \overline AB\;+\;\overline A\;\overline B\;\overline C\;+\;A\overline BC $
(B) $ \overline A\;\overline C\;+\;\overline AB+\;A\overline BC $
(C) $ \overline A\;\overline C\;+\;A\overline B+\;A\overline BC $
(D) $ \overline ABC\;+\;\overline A\;\overline C+\;A\overline BC $

Answer : (B) $ \overline A\;\overline C\;+\;\overline AB+\;A\overline BC $

GATE 2017 ECE Digital circuits Boolean Algebra

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GATE Papers >> ECE >> 2017 >> Question No 43

Answer : (B) $ \overline A\;\overline C\;+\;\overline AB+\;A\overline BC $

Questions of Boolean Algebra

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