ISRO-2013-28

Question

The most simplified form of the Boolean function

$x (A, B, C, D) = \sum (7, 8, 9, 10, 11, 12, 13, 14, 15)$

(expressed in sum of minterms) is?

• A. A + A'BCD
• B. AB + CD
• C. A + BCD
• D. ABC + D

Comments

i think it should be A also in un simplified form. correct me if i am wrong

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Option C is right Answer

Answer 1

In above k-map minterms $(m_8,m_9,m_{10},m_{11},m_{12},m_{13},m_{14},m_{15})$ can be combine as single octet and $(m_7, m_{15})$ as single pair.

 The SOP expression is : $f(A,B,C,D)=A+BCD$

So option $(C)$ is correct.