Digital Systems (CS-304) - Important Questions

Convert the following numbers between various bases and codes (binary, octal, decimal, hexadecimal, Gray, BCD, Excess-3): i) (516)7 to decimal and hexadecimal ii) (250.5)10 to octal and base-4 iii) (2ED)16 to octal and binary.

Simplify the SOP Boolean function F(A,B,C) = sum m(1,2,3,5,7) using K-map and draw the simplified logic diagram.

Implement the Boolean function F(A,B,C) = AB + A'C using only NAND gates.

Represent the decimal number 6 in i) Excess-3 code ii) BCD code iii) Gray code iv) 84-2-1 code v) 2421 code.

Implement the Boolean function F(A,B,C) = sum m(1,3,6,7) using a 4:1 multiplexer. Give design steps, truth table and connections.

Write a short note on decoder with truth table, logic diagram and applications.

Draw a full subtractor circuit using NAND gates only and explain its working with truth table.

Explain the working of the master-slave J-K flip-flop with circuit diagram and timing diagram.

Design a ripple decade counter using JK flip-flops. Draw the circuit, state diagram and timing waveforms.

Describe the 4-bit universal shift register with a neat diagram and explain its modes of operation.

With a neat diagram explain the operation of R-2R ladder DAC.

Explain the principle and working of a sample and hold circuit with diagram and its need in ADC systems.

Explain the need for interfacing between TTL and MOS logic and how TTL-to-MOS/CMOS interfacing is achieved.

Explain the concept and working principle of Time Division Multiplexing (TDM) with block diagram, including synchronous vs asynchronous TDM.

Explain the Pulse Code Modulation (PCM) system with a neat block diagram.

Simplify F(w,x,y,z) = y'z' + w'x'z' + w'xyz' + wyz' and implement the simplified result using universal gates only.