1

GATE ECE 2000

Subjective

+5

-0

The operating conditions (ON = 1, OFF = 0) of three pumps (x,y,z) are to be
monitored. x = 1 implies that pump X is on. It is required that the indicator (LED)
on the panel should glow when a majority of the pumps fail.

(a) Enter the logical values in the K-map in the format shown in figure 3(a). Derive
the minimal Boolean sum-of-products expression whose output is zero when a majority of the pumps fail.

(b) The above expression is implemented using logic gates, and point P is the
output of this circuit, as shown in figure 3(b). P is at 0 V when a majority of the pumps fails and is at 5 V otherwise. Design a circuit to drive the LED using this output. The current through the LED should be 10 mA and the voltage drop across it is 1V. Assume that P can source or sink 10 mA and a 5 V supply is available.

2

GATE ECE 1993

Subjective

+5

-0

The truth table for the output Y in terms of three inputs A, B and C are given in
table. Draw a logic circuit realization using only NOR gates.

Questions Asked from Logic Gates (Marks 5)

Number in Brackets after Paper Indicates No. of Questions

GATE ECE Subjects

Network Theory

Control Systems

Electronic Devices and VLSI

Analog Circuits

Digital Circuits

Microprocessors

Signals and Systems

Representation of Continuous Time Signal Fourier Series
Discrete Time Signal Fourier Series Fourier Transform
Discrete Time Signal Z Transform
Continuous Time Linear Invariant System
Transmission of Signal Through Continuous Time LTI Systems
Discrete Time Linear Time Invariant Systems
Sampling
Continuous Time Signal Laplace Transform
Discrete Fourier Transform and Fast Fourier Transform
Transmission of Signal Through Discrete Time Lti Systems
Miscellaneous
Fourier Transform

Communications

Electromagnetics

General Aptitude