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GATE CS Minimization (K-Maps etc.) questions

Practise Minimization (K-Maps etc.) questions for GATE CS. Explore official PYQs and original topic-wise quizzes, check answers and view available solutions. Free, no sign-in.

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Official PYQ2001Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
Given the following karnaugh map, which one of the following represents the minimal Sum-Of-Products of the map?
Official PYQ2000Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
Which functions does NOT implement the Karnaugh map given below?
Official PYQ1999Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
Which of the following functions implements the Karnaugh map shown below?
Official PYQ1998Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
The function represented by the Karnaugh map given below is
Official PYQ1997Digital LogicMinimization (K-Maps etc.)NAT · 1 mark
Let f=(wˉ+y)(xˉ+y)(w+xˉ+z)(wˉ+z)(xˉ+z)f=(\bar{w} + y)(\bar{x} +y)(w+\bar{x}+z)(\bar{w}+z)(\bar{x}+z) Express ff as the minimal sum of products. Write only the answer. If the output line is stuck at 00, for how many input combinations will the value of ff be correct?
Official PYQ1997Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
Let f(x,y,z)=xˉ+yˉx+xzf(x, y, z)=\bar{x} + \bar{y}x + xz be a switching function. Which one of the following is valid?
Official PYQ1996Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
What is the equivalent Boolean expression in product-of-sums form for the Karnaugh map given in Fig
Official PYQ1987Digital LogicMinimization (K-Maps etc.)MCQ · 1 mark
A Boolean function ff is to be realized only by NOR\text{NOR} gates. Its KK-map is given below: The realization is