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Posted By: k vishaal        Member Level: Gold       Posted Date: 05 Sep 2008

2008 Jawaharlal Nehru Technological University Code No R05311403 Set No. 2,III B.Tech I Semester Supplimentary Examinations, February 2008,SWITCHING THEORY AND LOGIC DESIGN Question paper



Course: B.Tech   University: Jawaharlal Nehru Technological University




Code No: R05311403 Set No. 2
III B.Tech I Semester Supplimentary Examinations, February 2008
SWITCHING THEORY AND LOGIC DESIGN
(Mechatronics)
Time: 3 hours Max Marks: 80
Answer any FIVE Questions
All Questions carry equal marks
? ? ? ? ?
1. Convert the following to Decimal and then to Binary.
(a) 101116
(b) ABCD16
(c) 72348
(d) 77668
(e) 12810
(f) 72010. [3+3+3+3+2+2]
2. (a) Draw the NAND logic diagram that implements the complement of the fol-
lowing function. [8]
F(A,B,C,D) =  (0,1,2,3,4,8,9,12)
(b) Obtain the complement of the following Boolean expressions.
i. AB + A(B + C) + B’(B + D)
ii. A + B + A’B’C [4]
(c) Obtain the dual of the following Boolean expressions.
i. A’B + A’BC’ + A’BCD + A’BC’D’E
ii. ABEF + ABE’F’ + A’B’EF [4]
3. Apply Branching method to simplify the following function
F (A, B, C, D) =QM(0, 1, 4, 5, 9, 11, 13, 15, 16, 17, 25, 27, 28, 29, 31)d(20, 21, 22, 30).
[16]
4. (a) Realize Full Adder Using two half adders and logic gates.
(b) Draw the block diagram of BCD adder using two 4-bit parallel binary adders
and logic gates. [4+12]
5. (a) Derive the PLA programming table for the combinational circuit that squares
a 3 bit number.
(b) For the given 3-input, 4-output truth table of a combinations circuit,tabulate
the PAL programming table for the circuit. [8+8]
1 of 2
Code No: R05311403 Set No. 2
Inputs Output
x y z A B C D
0 0 0 0 1 0 0
0 0 1 1 1 1 1
0 1 0 1 0 1 1
0 1 1 0 1 0 1
1 0 0 1 0 1 0
1 0 1 0 0 0 1
1 1 0 1 1 1 0
1 1 1 0 1 1 1
6. Explain in detail the following:
(a) Johnson counter
(b) Serial binary adders
(c) Pulse mode & level mod sequential ckts. [5+5+6]
7. A clocked sequential circuit is provided with a single input x and single output Z.
Whenever the input produce a string of pulses 1 1 1 or 0 0 0 and at the end of the
sequence it produce an output Z = 1 and overlapping is also allowed.
(a) Obtain State - Diagram.
(b) Also obtain state - Table.
(c) Find equivalence classes using partition method & design the circuit using D
- flip-flops. [4+4+8]
8. (a) Draw the ASM chart for the following state transistion, start from the initial
state T1, then if xy=00 go to T2, if xy=01 go to T3, if xy=10 go to T1, other
wise go to T3.
(b) Show the exit paths in an ASM block for all binary combinations of control
variables x, y and z, starting from an initial state. [8+8]
? ? ? ? ?
2 o





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