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This is the truth table for which expression? xyz out 0000 0011 0100 0110 1001 1010 1101 1110 ㅇ (z + y)(y + z) O none of these O (z + 2)(x+ 9)(T + z)

This is the truth table for which expression? xyz out 0000 0011 0100 0110 1001 1010 1101 1110 ㅇ (z + y)(y + z) O none of these O (z + 2)(x+ 9)(T + z)

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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My answer is incorrect i think, what is the right answer? 

**Truth Table and Expression Selection** This diagram presents a truth table with three input variables, \(x\), \(y\), and \(z\), and an output column labeled "out". The truth table is used to identify the correct logical expression from the given options. **Truth Table:** | 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 | 0 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 | **Expression Options:** 1. \((x + y)(y + \overline{z})\) 2. none of these 3. \(\overline{x} + \overline{z}\) (Selected) 4. \((x + z)(x + \overline{y})(\overline{x} + \overline{z})\) The selected expression, \(\overline{x} + \overline{z}\), is purportedly the one that matches the given truth table.
Transcribed Image Text:**Truth Table and Expression Selection** This diagram presents a truth table with three input variables, \(x\), \(y\), and \(z\), and an output column labeled "out". The truth table is used to identify the correct logical expression from the given options. **Truth Table:** | 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 | 0 | | 1 | 1 | 0 | 1 | | 1 | 1 | 1 | 0 | **Expression Options:** 1. \((x + y)(y + \overline{z})\) 2. none of these 3. \(\overline{x} + \overline{z}\) (Selected) 4. \((x + z)(x + \overline{y})(\overline{x} + \overline{z})\) The selected expression, \(\overline{x} + \overline{z}\), is purportedly the one that matches the given truth table.
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