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Q1 a) Prove the Demorganâ€s laws using Boolean algebra.
b) Find the minimal sum of product expression for the following Switching
function. F (x1, x2, x3, x4, x5) = Sm (1, 2, 3, 6, 8, 9, 14, 17, 24, 25, 26, 27,
+ Sd(4,5) Q2 a) Explain the working of master-slave JK
flip flop. State its merit. What is Race problem in flip- flops? b) Design a
negative edge triggered T flip flop. The circuit has two inputs, T(toggle) and
C(clock) and output Q and Qâ€. The output state is
complemented if T=1 and the clock C changes from 1 to 0. Otherwise under any
other input condition, the output Q remains unchanged. Q3 a) Differentiate
i) Combinational and Sequential Logic Circuits. ii)
Synchronous and Asynchronous Counters Q4 Do
a) Conversion of 100.55 base 10 into binary, octal codes.
b) Conversion of 1111010011011110 base 2 to decimal, hexadecimal.
Q5 a) Draw the circuit of a 3 to 8 decoder and explain its operation. How this can
be used as a DEMUX. b) Design and explain Priority encoder.
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