1) Write a Boolean equation in sum-of-products canonical form for each of the following five truth tables. 2) Then minimize each of the Boolean equation, and 3) sketch a combinational circuit that implement the minimized Boolean equation using only NOT, AND and OR gates. (a) A 0 0 1 1 B 0 0 Y 1 1 0 1 1 1 (b) A в с Y 0 0 1 1 10 00НННН 1 1 1 1 нроонноо 1 1 1 1 OHOHOHOH 1 1 1 1 1 1 0 1 о (c) A 0 1 о о OHHHH 0 1 1 1 1 B с Y 0 0 0 0 1 1 1 0 1 1 -ноо но 0 1 нон нноооонс 1 1 (d) A в 0 1 0 0 0 0 0 0 0ННН 1 1 ...ОННННОООС с 0 -нооннооннос 1 1 1 1 DOHOHOHOHOHOR HOTLOOHHHOHO 1 1 1 1 1 1 1 1 Y A 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 Н Н Н г 1 1 B 0000ННННО 0 0 0 ОоонНООННООНГ 1 1 1 1 1 1 1 D -онононононс Y 0 OOHOOHHHH de 1

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

4. Derive the truth table, and compute F as a Boolean expression of a, b, and c, for the Boolean function F from the circuit shown below. b' C a b a b' C a a¹ C b D t Do

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

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

Consider the circuit below. CLK C' XYC CF Y' F Z XY F F' X' Y' a) Is this a Moore of Mealy machine? b) Derive the next-state equations and output equation.

Build the logic circuit, using AND and OR gates and INVERTERS. Z = [A + B + C'DE ']' + B'CD ' Also, Evaluate the output of the circuit for A = B = D =0 and C= E = 1 (Hint: Use Z equation and substitute the variables with the numerical inputs given and do your analysis)

Given the function, F (x, y, z) = y(x′z + xz′) + x(yz + yz′) Q.Simplify the expression using Boolean algebra and identities

Use boolean algebra to simplify this expression