Design a 3-bit synchronous up counter using T Flip-Flop. Draw the state diagram, transition table, circuit diagram and timing diagram.
Simplify the following Boolean expression using K-Map and realize using NAND gates only:
F(A, B, C, D) = Σ(0, 1, 3, 5, 7, 8, 10, 14, 15) with don't care conditions d(A, B, C, D) = Σ(2,9, 13).
Design full subtractor with truth table, logical expression for output and circuit diagram.
Attempt any Eight questions
[8×5=40]Convert the following as indicated:
a) (F4B.B)16 to Decimal
b) (110.625)10 to Binary and Octal
Draw the circuit diagram of a D Flip-Flop. Write its truth table, characteristic equation, and excitation table.
What is a shift register? Explain PISO (Parallel-In Serial-Out) shift register with a neat block diagram and timing diagram.
What is an encoder? Design a 4 to 2 encoder with truth table and logic diagram.
Design a Mod-6 asynchronous counter using JK Flip-Flop. Draw its state diagram and timing diagram.
What is a decoder? Implement a full adder using a 3-to-8-line decoder and OR gates.
State and prove De Morgan's theorems with the help of truth tables and logic circuit.
What is multiplexer? Design a 4 to 1 multiplexer with truth table, logical expression for output and logic circuit.
Write short notes on:
a) Gray Code
b) PLA and PAL


