1
GATE ECE 1987
Subjective
+8
-0
The circuit diagram of a 2 bit A to D converter is shown in figure below. The combinational logic is to be disigned to provide a natural binary representation using $${D_1}$$ and $${D_0}$$ for the analog input $${V_i}$$. $${D_1}$$ is to be the most significant bit.
(a) Draw the Karnaugh maps for $${D_1}$$ and $${D_0}$$ in terms of $${C_2}$$, $${C_1}$$ and $${C_0}$$
(b) Obtain the minimal sum of products expressions for $${D_1}$$ and $${D_0}$$.
(c) Realize the logic for $${D_1}$$ and $${D_0}$$ using 2- input NAND gates only.
(d) Find the resolution of the Ato D converter.
(a) Draw the Karnaugh maps for $${D_1}$$ and $${D_0}$$ in terms of $${C_2}$$, $${C_1}$$ and $${C_0}$$
(b) Obtain the minimal sum of products expressions for $${D_1}$$ and $${D_0}$$.
(c) Realize the logic for $${D_1}$$ and $${D_0}$$ using 2- input NAND gates only.
(d) Find the resolution of the Ato D converter.
Questions Asked from Combinational Circuits (Marks 8)
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