1

GATE CSE 2007

MCQ (Single Correct Answer)

+2

-0.6

Let $$f\left( {w,x,y,z} \right) = \sum {\left( {0,4,5,7,8,9,13,15} \right).} $$ Which of the following expressions are NOT equivalent to $$f?$$

$$(P)\,\,\,$$ $$x'y'z' + w'xy' + wy'z + xz$$

$$(Q)\,\,\,$$ $$w'y'z' + wx'y' + xz$$

$$(R)\,\,\,$$ $$w'y'z' + wx'y' + xyz + xy'z$$

$$(S)\,\,\,$$ $$x'y'z' + wx'y' + w'y$$

$$(P)\,\,\,$$ $$x'y'z' + w'xy' + wy'z + xz$$

$$(Q)\,\,\,$$ $$w'y'z' + wx'y' + xz$$

$$(R)\,\,\,$$ $$w'y'z' + wx'y' + xyz + xy'z$$

$$(S)\,\,\,$$ $$x'y'z' + wx'y' + w'y$$

2

GATE CSE 2006

MCQ (Single Correct Answer)

+2

-0.6

Consider a Boolean function $$f(w, x, y, z).$$ Suppose that exactly one of its inputs is allowed to change at a time. If the function happens to be true for two input vectors $${i_1} = < {w_1},{x_1},{y_1},{z_1} > $$ and $${i_2} = < {w_2},{x_2},{y_2},{z_2} > ,$$ we would like the function to remain true as the input changes from $${i_1}$$ to $${i_2}$$ ($${i_1}$$ and $${i_2}$$ differ in exactly one bit position), without becoming false momentarily. Let $$f\left( {w,x,y,z} \right) = \sum {\left( {5,7,11,12,13,15} \right)} .$$ Which of the following cube covers of $$f$$ will entire that the required property is satisfied?

3

GATE CSE 2004

MCQ (Single Correct Answer)

+2

-0.6

Which are the essential prime implicants of the following Boolean function? $$F\left( {a,b,c} \right) = {a^1}c + a{c^1} + {b^1}c$$

4

GATE CSE 2002

MCQ (Single Correct Answer)

+2

-0.6

Consider the following logic circuit whose inputs are functions $${f_1},$$ $${f_2},$$ $${f_3},$$ and output is $$f.$$

Questions Asked from Boolean Algebra (Marks 2)

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