Design a combinational circuit with four inputs and one output. The output is equal to 1 when (i) all the inputs are equal to 1 or (ii) none of the inputs are equal to 1 or (iii) an odd number of inputs are equal to 1.
Implement the following function:
F = ∑(0,1,3,4,5,8,9,10,15) using
i) Decoder
ii) Multiplexer
iii) PLA
What do you mean by race condition in JK Flip Flop and mention the methods to overcome it? Explain Master Slave Flip-flop using JK flip flop with logic circuit, truth table and timing diagram.
Attempt any Eight questions
[8x5=40]Convert (1011.110) into decimal and hexadecimal.
Convert (51966.57)₁₀ into octal and hexadecimal number system.
Subtract (111000.110)₂ — (110100.101)₂ using both 2's and 1's complement.
State and prove De-Morgan's Theorems.
Define Half-subtractor with truth table and logic diagram.
What is decoder? Implement 8 x 1 MUX using 4 x 1 MUX.
What is clocked RS flip-flop? Explain with logic diagram and characteristic table.
Design Mod-3 synchronous counter.
Draw a Parallel-In Parallel-Out Shift register and explain it.
13. Write short notes on:
a. Binary parallel adder
b. Jonson counter