1
GATE CSE 1997
+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: $${f_1}\left( {w,\,x,\,y,\,z} \right) = \sum {8,9,10}$$
$${f_2}\left( {w,\,x,\,y,\,z} \right) = \sum {7,8,12,13,18,15}$$
$$f\left( {w,\,x,\,y,\,z} \right) = \sum {\left( {8,9} \right)}$$

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
+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. A
$$Y = A\overline {BC} + \overline {DE}$$
B
$$Y = ABC + DE$$
C
$$Y = \overline {ABC} .\overline {DE}$$
D
$$Y = ABC\,.\,DE$$
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Digital Logic
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude
EXAM MAP
Joint Entrance Examination