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2.11 List the truth table of the function: (a)* F = xy + xy' + y'z (b) F = x'z' + yz

2.11 List the truth table of the function: (a)* F = xy + xy' + y'z (b) F = x'z' + yz

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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2.11 List the truth table of the function: (a)* F = xy + xy' + y'z (b) F = x'z' + yz 2.12 We can perform logical operations on strings of bits by considering each pair of corresponding bits separately (called bitwise operation). Given two eight-bit strings A = 10110001 and B = 10101100, evaluate the eight-bit result after the following logical operations: (a)* AND, (b) OR, (c)* XOR, (d)* NOT A, (e) NOT B. 2.17 Obtain the truth table of the following functions, and express each function in sum-of-minterms and product-of-maxterms form: (a) (xy + z)(y + xz) (c) x'z + wx'y + wyz' + w'y' (b) (x + y')(y' + z) (d) (xy + yz' + x'z)(x + z) 2.18 For the Boolean function F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of F. (b) Draw the logic diagr (c Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one 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). sing the origin Boolean expression.
Transcribed Image Text:2.11 List the truth table of the function: (a)* F = xy + xy' + y'z (b) F = x'z' + yz 2.12 We can perform logical operations on strings of bits by considering each pair of corresponding bits separately (called bitwise operation). Given two eight-bit strings A = 10110001 and B = 10101100, evaluate the eight-bit result after the following logical operations: (a)* AND, (b) OR, (c)* XOR, (d)* NOT A, (e) NOT B. 2.17 Obtain the truth table of the following functions, and express each function in sum-of-minterms and product-of-maxterms form: (a) (xy + z)(y + xz) (c) x'z + wx'y + wyz' + w'y' (b) (x + y')(y' + z) (d) (xy + yz' + x'z)(x + z) 2.18 For the Boolean function F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of F. (b) Draw the logic diagr (c Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one 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). sing the origin Boolean expression.
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