Answered: Truth Tables and Logic Gates /Circuits…

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 Tables and Logic Gates /Circuits
~ - NOT
1. Derive truth tables for the following Boolean expressions:
a) ~(A + B)
b) ~ A + (~ B)
c) (~ A) + B
d) (~ A). (~ B)
e) (~ A). (A + (~ B))

2. Derive truth tables for:
a) A.B + (~C)
b) A. (BC)
c) (AB).C
d) (~ A) .(B + C)
e) ~(AB) + C

3. Derive truth tables for the following; inputs are A, B and C.
a) W is True if an even amount of inputs is True, and False otherwise.
b) W is True if exactly one input is true, and False otherwise.
c) W is true if A and C are the same, and False otherwise.

4. Draw the logic circuits for the following Boolean expressions:
a) W = (AB) + (NOT C)
b) X = (~A). (B + C)
c) Y = ~(AB) + C

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