DIGITAL LOGIC DESIGN AND ANALYSIS (DLDA) MAY 2009 COMPUTER SCIENCE SEMESTER 3
Con.2721-09. (REVISED COURSE) VR-3327(3 Hours) [Total Marks: 100]
N.B.: (1) Question No.1 is compulsory.
(2) Attempt any four questions out of remaining six questions.
1. (a) Convert (670.17)8 into decimal, binary and hex. [6 Marks]
(b) Design 16:1 MUX using 4:1 MUX. [6 Marks]
(c) Design a full subtractor using only NAND gates. [4 Marks]
(d) Simplify the following using Boolean laws : [4 Marks]
(i)
(ii)
2. (a) Simplify using K-map, obtain SOP equation and realize using only NAND gates. [10 Marks]
f(A,B,C,D) = πM(1,2,3,8,9,10,11,14) + d(7,15).
(b) Consider a chemical mixing tank for which there are 3 variables of interest: [10 Marks]
Liquid level, pressure and temperature. The alarm will be triggered under the
following conditions:
(i) Low level with high pressure
(ii) High level with low pressure
(iii) High level with low temperature and high pressure
Design the system, implement using only NOR gates.
3. (a) Design BCD to 7-segment code converter. [10 Marks]
(b) Draw the 2-input TTL NAND gate and explain. List important characteristics of TTL
family. [10 Marks]
4. (a) Design BCD adder using 4-bit binary adder and explain. [10 Marks]
(b) Design a MOD-6 synchronous up-counter and explain its operation. [10 Marks]
5. (a) Simplify using K-map and realize using NOR gates. [10 Marks]
f(A,B,C,D)= ∑m(1,3,7,11,15)+d(0,2,5,8,14).
(b) Draw a 4-bit jhonson counter using shift register and prove that it is "Divide by 4"
logic. [10 Marks]
6. (a) Simplify using Quine McClusky method. [10 Marks]
f(A,B,C,D) = πm(0,2,3,6,7,8,9,12,13).
Realize the equation using any universal gate.
(b) Implement the following expression using 8:1 MUX. [10 Marks]
f(A,B,C,D) = ∑m(0,1,5,7,9,10,15)
7. Write short notes on :- [20 Marks]
(a) DeMorgan's Theorems
(b) NOR as universal gate
(c) ALU
(d) TTL Vs CMOS logic family.
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