2.11 List the truth table of the function:(a)* F = xy + xy' + y'z(b) F = x'z' + yz2.12 We can perform logical operations on strings of bits by considering each pair of correspondingbits separately (called bitwise operation). Given two eight-bit strings A = 10110001 andB = 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-mintermsand 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 functionF = 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 thesame as the one in part (a).(e) Draw the logic diagram from the simplified expression, and compare the total number ofgates with the diagram of part (b).sing the originBoolean expression.

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

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

Problem 1PE

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Question

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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