Obtain the simplified Boolean expressions for output F and G in terms of the input variables in the circuit of the figure below. D

Draw the logic circuit of the following function and its Truth table, then Simplify it using Boolean algebra laws and draw the logic circuit and Truth table of the simplified circuit. = (A+B)+(A + C) y =

2. Consider the circuit below. a. Write the Boolean expression for output F in terms of A, B and C. b. Construct a truth table for the circuit with A as MSB and C as LSB. c. Write the Canonical SOP and POS forms for output F. A B C 3. Draw the logic circuit represented by the expression F(A, B) = AB using no more than 5 units of 2-input NAND gate and write the corresponding Boolean expression.

Write the Boolean expression for the output of the logic circuit shown below. Solution:

(a) Find the output of the circuit corresponding to the input P = 1, Q = 0, and R = 1. (b) Write the Boolean expression corresponding to the circuit.

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.

1. Write Boolean equations for the circuit shown below. They do not need to be optimized. A B D X Y Z

The boolean expression for the below logic circuit is equivalent to В C A

7. Given the following truth table, write an algebraic expression for the function F, simplify the expression, and then draw a logic circuit for it. A C F 1 1 1 1 1 1 1 1 1 1 1 1

10. Find the output of the given circuits. a. b. X y Z X y Z X y Z X o