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Need help with 1 and 2 and 3 all of the aspects please thank you. \" S om your w

ID: 3881033 • Letter: N

Question

Need help with 1 and 2 and 3 all of the aspects please thank you.

" S om your work for ca roec best or pan sal o i Prove that these Boolean algebra identities are true by showing the truth table for each side of the expression. a. x(yz) (xy)z' b, (xy)' = x' + y' c. (ABC)' = A' + B' + C' 1. Do steps a -e for the Boolean functions in questions 2 and 3. Show your work and clearly label each step. a. List the truth table of the function. b. Draw the logic diagram using the original Boolean expression. c. Simplify the algebraic expression using Boolean algebra. d. List the truth table of the function from the simplified expression in step c. and show that it is the same as the truth table in part (a). Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram from part (b) e. 3, F AB + A(CD + CD)

Explanation / Answer

If you post more than 1 question, as per chegg guideliens I have to solve only 1 question.

Ques 1.

(a)

L.H.S

R.H.S

As the truth table are same, so L.H.S = R.H.S

(b)

L.H.S

R.H.S

As the truth table are same, so L.H.S = R.H.S

(c)

L.H.S

R.H.S

As the truth table are same, so L.H.S = R.H.S

x y z (yz) x(yz) 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1