1
GATE ECE 1996
Subjective
+4
-0
Given the Boolean function F in three variables R, S and T as
F=$$\,\overline R \,S\overline T + R\overline {S\,} T + RST$$
(a) Express F in the minimum sum-of-products from.
(b) Express F in the minimum product-of-sums from.
(c) Assuming that both true and complement froms of the input variables are avialable, draw a cicruit to implement F using the minimum number of 2input NAND gates only.
Questions Asked from Boolean Algebra (Marks 4)
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