Perform the following operations: a.(0111010)2−(110011)2 using 2's complementb.(89344)10−(98654)10 using 9's complement[2.5+2.5]
Combinational Logic
1.
What is combinational circuit? Design a combinational circuit with four inputs lines that represent a decimal digit in BCD and four output lines that generate the 1's complement of the input binary patterns.[10]
Combinational Logic with MSI and LSI
1.
Implement the Boolean function F(P,Q,R,S) using:
F(P,Q,R,S)=∑(3,4,6,8,9,14)
a. 8 to 1 multiplexerb. PLAc. Decoder[4+2+2+2]
2.
Design a full subtractor with necessary tables and logic diagram.[5]
3.
What is decoder circuit? Design 3 to 8 decoder circuit.[5]
Registers and Counters
1.
What is asynchronous counter? Design synchronous counter that counts the sequences of 0-1-4-6-7 using T flip-flop.[10]
2.
What is drawback of RS Flipflop? Explain D Flip Flop in detail with Logic Diagram, characteristics table and Characteristics equation.[5]
3.
What is shift register? Explain 4-bit SISO and PIPO with timing Diagram.[5]
4.
Design an asynchronous Mod 11 up counter using T flip flop.[5]
5.
How race condition in JK flip flop can be resolved? Explain.[5]
Simplification of Boolean Functions
1.
If f(P,Q,R,S)=∑(3,4,7,8,14),d(P,Q,R,S)=∑(1,6,9,13) Simplify it using K-map and design circuit using minimum number of NAND gates.[5]