Draw the truth tables for the following Boolean expressions. xy+yz+xz x¯y+yz¯+x¯z (x⊕y)+(y⊕z)+(x⊕z) (xy)¯⊕z Draw circuit diagrams implementing each of the above expressions. You may simplify the expressions or not, as you choose. You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR).

2. Implement the logic circuit and the truth table for the Boolean expressions shown below. X = (A + BC) + (AB) + (CAB) X = A + B[C+D(B+C)] X = ĀB (C+ D)

The following circuit implements a state machine. Obtain its state table and state diagram. (You need to show all the steps). D Q CLK CLK reset reset

Consider the following truth table. A 0 B001 В C Output 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1a) 1b) Write the Boolean expression for the output using the sum-of-products (SOP) form. 1c) Draw the logic circuit using the expression derived in part (a). Use two-input gates (OR, AND) and single-input inverters. Write the Boolean expression for the output using product-of-sums (POS) form.

Q1: Given the logic circuit bellow, implement each of the following: - (2 degree for each) 1- Starting from the input side and writing output expression for each of the gates. 2- Identify a Boolean expression. 3- Show the behavior of the logic circuit with a truth table. 4- 5- L

Simplify the given Boolean function and design half and full adder according to given input symbols. S(x, y, z)                 =             XY’Z’+X’YZ’+XYZ+X’Y’Z = Z⊕ (X⊕Y)

Draw the truth table of the logic circuit, Y (A+B) + (B'.C')

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 logic Circuit Before simplifying and Simplify the equation with Boolean algebra

Please include all the steps and reasonings and kindly make sure the answer is correct and properly formatted. Thank you