1
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
Given $${f_1},$$ $${f_3},$$ and $$f$$ in canonical sum of products form (in decimal) for the circuit. $$${f_1} = \sum {m\left( {4,5,6,7,8} \right)} $$$ $$${f_3} = \sum {m\left( {1,6,15} \right)} $$$ $$$f = \sum {m\left( {1,6,8,15} \right)} $$$
Then $${f_2}$$ is GATE CSE 2008 Digital Logic - Boolean Algebra Question 47 English
A
$$\sum {m\left( {4,6} \right)} $$
B
$$\sum {m\left( {4,8} \right)} $$
C
$$\sum {m\left( {6,8} \right)} $$
D
$$\sum {m\left( {4,6,8} \right)} $$
2
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Consider the following Boolean function with four variables
$$F\left( {w,\,x,\,y,\,z} \right) = \sum {\left( {1,\,3,\,4,\,6,\,9,\,11,\,12,\,14} \right)} $$ the function is
A
Independent of one variables
B
Independent of two variables
C
Independent of three variables
D
Depends on all variables
3
GATE CSE 2004
MCQ (Single Correct Answer)
+1
-0.3
The Boolean function $$x'y' +xy +x'y$$ is equivalent to
A
$$x'+y'$$
B
$$x+y$$
C
$$x+y'$$
D
$$x'+y$$
4
GATE CSE 1997
MCQ (Single Correct Answer)
+1
-0.3
Let $$^ * $$ be defined as $${x^ * }y = \overline x + y,$$ Let $$z = {x^ * }y.$$ Value of $${z^ * }x$$ is
A
$$\overline x + y$$
B
$$x$$
C
$$0$$
D
$$1$$
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