10. For the following I/O table, derive an expression that produces equivalent outputto the function f(x,y,z).xyz f(x,y,z)1 1 1 111001010100101110 1 0 000100001

Answered: 10. For the following I/O table, derive…

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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10. For the following I/O table, derive an expression that produces equivalent output
to the function f(x,y,z).
xyz f(x,y,z)
1 1 1 1
1100
1010
1001
0111
0 1 0 0
0010
0001

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Boolean algebra may simplify the function. Boolean algebra manipulates logical expressions with variables that can only be 0 or 1. First, examine the I/O table. It illustrates f(x,y,z) output for all possible input values x, y, and z. The function outputs 0 or 1 from three inputs. To derive an expression that outputs the same as f(x,y,z), we must discover a Boolean expression that matches the I/O table output values for all input combinations.

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