8. Create a Truth Table for the following logic expression: АВ + СА + Св

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
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**8. Create a Truth Table for the following logic expression:**

\( \overline{\overline{AB} + \overline{CA} + \overline{CB}} \)

**Explanation:**
- This is a logical expression involving variables A, B, and C.
- The expression uses negation (indicated by the overline) and logical OR operations (indicated by the plus sign).
- It requires the creation of a truth table that evaluates all possible combinations of inputs A, B, and C to determine the truth value of the expression.
Transcribed Image Text:**8. Create a Truth Table for the following logic expression:** \( \overline{\overline{AB} + \overline{CA} + \overline{CB}} \) **Explanation:** - This is a logical expression involving variables A, B, and C. - The expression uses negation (indicated by the overline) and logical OR operations (indicated by the plus sign). - It requires the creation of a truth table that evaluates all possible combinations of inputs A, B, and C to determine the truth value of the expression.
Expert Solution
Step 1

Explanation:

  • As there are three variables so there will be 23=8 cases for the given expression.
  • The addition function computes 1, if any of one input value is 1, it computes 0, only if all the input values are 0.
  • The multiplication computes 1, if all the values are 1, otherwise computes 0.
  • The negation or bar function simply reverse the input values.
  • The below tables shows the truth table value for the given expression.
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