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. [10]
2.
Implement the following function: F = $\Sigma$(0,1,3,4,5,8,9,10,15) using i) Decoder ii) Multiplexer iii) PLA [5]
3.
Define Half-subtractor with truth table and logic diagram. [5]
4.
What is decoder? Implement 8 x 1 MUX using 4 x 1 MUX. [5]
5.
Write short notes on Binary parallel adder Write short notes on Jonson counter. [2.5+2.5]
Counters, Registers and Memory
1.
Design Mod-3 synchronous counter. [5]
2.
Draw a Parallel-In Parallel-Out Shift register and explain it. [5]
Digital Design Fundamentals and Boolean algebra
1.
State and prove De-Morgan's Theorems. [5]
Number Systems, Operations and Codes
1.
Convert (1011.110) into decimal. and hexadecimal [5]
2.
Convert 51966.57 decimal number system into octal number system and hexadecimal number system. [5]
3.
Subtract $(111000.110)_2$ - $(110100.101)_2$ using both 2's and 1's complement. [5]
Sequential Logic
1.
What do you mean by race condition in JK Flip Flop? Mention the methods to overcome race condition in JK Flip Flop. Explain Master Slave Flip-flop using JK flip flop with logic circuit, truth table and timing diagram. [3+7]
2.
What is clocked RS flip-flop? Explain with logic diagram and characteristic table. [5]