1
GATE CSE 2010
+1
-0.3
The minters expansion of $$f\left( {P,Q,R} \right) = PQ + Q\overline R + P\overline R$$ is
A
$${m_2} + {m_4} + {m_6} + {m_7}$$
B
$${m_0} + {m_1} + {m_3} + {m_5}$$
C
$${m_0} + {m_1} + {m_6} + {m_7}$$
D
$${m_2} + {m_3} + {m_4} + {m_5}$$
2
GATE CSE 2009
+1
-0.3
What is the minimum number of gates required to implement the Boolean function $$(AB+C)$$ if we have to use only $$2$$-input NOR gates?
A
$$2$$
B
$$3$$
C
$$4$$
D
$$5$$
3
GATE CSE 2008
+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
A
$$\sum {m\left( {4,6} \right)}$$
B
$$\sum {m\left( {4,8} \right)}$$
C
$$\sum {m\left( {6,8} \right)}$$
D
$$\sum {m\left( {4,6,8} \right)}$$
4
GATE CSE 2007
+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
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