B\ Given the Boolean function F(A, B, C) = A B C + A B C + A B C a. List the truth table. b. Draw the logic diagram. c. Simplify the algebraic expression.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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8\ Given the Boolean function
F(A, B, C) = A BC+A B C + AB C
a. List the truth table.
b. Draw the logic diagram.
c. Simplify the algebraic expression.
d. List the truth table of the function from the simplified expression and show that
it is the same as the truth table in part (a).
e. Draw the logic diagram from the simplified expression and compare the total
number of gates with the diagram of part (b).
Note: Any gate will be used in the logic diagrams should have 2-inputs only.
9\ Given the function: F(A,B,C,D) = Ā B D + Č D + A B D + C D + A B D
a. List the truth table.
b. Draw the logic circuit.
c. List the algebraic expressions in POS.
d. Draw the logic circuit using NAND gates only.
76
Transcribed Image Text:8\ Given the Boolean function F(A, B, C) = A BC+A B C + AB C a. List the truth table. b. Draw the logic diagram. c. Simplify the algebraic expression. d. List the truth table of the function from the simplified expression and show that it is the same as the truth table in part (a). e. Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b). Note: Any gate will be used in the logic diagrams should have 2-inputs only. 9\ Given the function: F(A,B,C,D) = Ā B D + Č D + A B D + C D + A B D a. List the truth table. b. Draw the logic circuit. c. List the algebraic expressions in POS. d. Draw the logic circuit using NAND gates only. 76
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