1
GATE CSE 1997
MCQ (Single Correct Answer)
+2
-0.6
Consider the logic circuit shown in Figure below. The functions $${f_1},$$ $${f_2}$$ and $$f$$ (in canonical sum of products form in decimal notation) are: GATE CSE 1997 Digital Logic - Boolean Algebra Question 35 English

$${f_1}\left( {w,\,x,\,y,\,z} \right) = \sum {8,9,10} $$
$${f_2}\left( {w,\,x,\,y,\,z} \right) = \sum {7,8,12,13,18,15} $$
$$f\left( {w,\,x,\,y,\,z} \right) = \sum {\left( {8,9} \right)} $$

The function $${f_3}$$ is

A
$$\sum {9,\,10} $$
B
$$\sum 9 $$
C
$$\sum {1,8,9} $$
D
$$\sum {8,10,15} $$
2
GATE CSE 1990
MCQ (Single Correct Answer)
+2
-0.6
Two $$NAND$$ gates having open collector outputs are tied together as shown in fig. The logic function $$Y,$$ implemented by the circuit is. GATE CSE 1990 Digital Logic - Boolean Algebra Question 17 English
A
$$Y = A\overline {BC} + \overline {DE} $$
B
$$Y = ABC + DE$$
C
$$Y = \overline {ABC} .\overline {DE} $$
D
$$Y = ABC\,.\,DE$$
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