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This is the truth table for which expression? xyz out 0000 |이01 |1 0100 0110 |1001 1010 11ol1

This is the truth table for which expression? xyz out 0000 |이01 |1 0100 0110 |1001 1010 11ol1

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
Problem 1PE
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### Truth Table Analysis The image presents a truth table used to determine which logical expression corresponds to the given input-output combinations. The truth table is as follows: | x | y | z | out | |---|---|---|-----| | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 | ### Available Expressions - \((x + y)(\overline{y} + \overline{z})\) - none of these - \(\overline{x} + \overline{z}\) - \((x + z)(x + y)(\overline{x} + \overline{z})\) ### Explanation The correct expression that corresponds to the given truth table is highlighted as \(\overline{x} + \overline{z}\).
Transcribed Image Text:### Truth Table Analysis The image presents a truth table used to determine which logical expression corresponds to the given input-output combinations. The truth table is as follows: | x | y | z | out | |---|---|---|-----| | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | | 0 | 1 | 0 | 0 | | 0 | 1 | 1 | 0 | | 1 | 0 | 0 | 1 | | 1 | 0 | 1 | 1 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 | ### Available Expressions - \((x + y)(\overline{y} + \overline{z})\) - none of these - \(\overline{x} + \overline{z}\) - \((x + z)(x + y)(\overline{x} + \overline{z})\) ### Explanation The correct expression that corresponds to the given truth table is highlighted as \(\overline{x} + \overline{z}\).
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