Which gate does the following Boolean expression represent? X = (A+B)'

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
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### Boolean Logic and Gates

#### Question 9:
**Which gate does the following Boolean expression represent?**

\( X = (A + B)' \)

- A. AND
- B. NAND
- C. XOR
- D. OR
- **E. NOR**

**Explanation:**
The expression \( (A + B)' \) represents the NOR gate. The symbol \( + \) stands for the OR operation, and the apostrophe \( ' \) represents the NOT operation. Therefore, \( (A + B)' \) is the NOT of \( A \) OR \( B \), which is the definition of the NOR gate.
Transcribed Image Text:### Boolean Logic and Gates #### Question 9: **Which gate does the following Boolean expression represent?** \( X = (A + B)' \) - A. AND - B. NAND - C. XOR - D. OR - **E. NOR** **Explanation:** The expression \( (A + B)' \) represents the NOR gate. The symbol \( + \) stands for the OR operation, and the apostrophe \( ' \) represents the NOT operation. Therefore, \( (A + B)' \) is the NOT of \( A \) OR \( B \), which is the definition of the NOR gate.
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