ΔΔΔ DADD Find the expression output of the circuit and simplify the expression output using Boolean algebra and identities. Implement the circuit by using a Multiplexer.

Given is the following circuit with 4 inputs A, B, C, D and the output Y. (O denotes an inverter.) ABCD & 00 & & & =1 & & =1 & & & ≥1 Y a) Create the truth table for this circuit. b) Use a K-map to simplify this circuit. c) State a Boolean equation that describes Y based on your simplification.

Q1. Design a logic circuit that perform. the gray code on the 4-input binary weighted code 2421 using Karnugh Map (K.M) implementation method? Using Electronic Workbench. i.e. weighted code 2421 Gray code

4. Given the SOP circuit, write out its canonical SOP Boolean expression. w y

Simplify the following expression and implement it using NOR gate. F(A,B,C,D)=Em(1,2,4,11,13,14,15)+Ed(0,5,7,8,10)

For the circuit in the figure, indicate the value of Q at time T2 0 1 INDETERMINATE

Write the boolean expression for S as a sum of minterms. A B C S 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0

5. Find the Boolean expression for the following circuit, and simplify it. SHOW YOUR WORK. A В

Given Boolean function is :F= x y + x′ y′ + y′ za. Implement it with only OR & NOT gatesb. Implement it with only AND & NOT gates

( w' + x' + y + z' )( w' + x' + y + z ). Draw the circuits before and after Simplify the expression simplification. Solution:

boolean expression: P = not((not(a.b) + c) + a.c) (c) Show that P (the Boolean expression above) is equivalent to the Boolean expression Q = a · b · not(c) and draw the corresponding circuit.

Draw a circuit using 555 acts as a monostable.

Can you develop a digital circuit based off the given example circuit I have?