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Write the three outputs of X, Y and Z in terms of the four inputs A, B, C and D for the follow logic gates configuration ABC

Write the three outputs of X, Y and Z in terms of the four inputs A, B, C and D for the follow logic gates configuration ABC

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
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**Question III** Write the three outputs of X, Y, and Z in terms of the four inputs A, B, C, and D for the following logic gates configuration. **Diagram Explanation:** The logic circuit consists of four inputs: A, B, C, and D. These inputs are connected to various logic gates (NOT, AND, and OR) to produce three outputs: X, Y, and Z. - **Inputs:** - A, B, C, D - **Outputs:** - X - Y - Z **Logic Gate Configuration:** 1. **Input A** is connected to a NOT gate (inverter), creating A'. 2. **Input B** directly connects to the first AND gate along with the NOT of A (A'). 3. The output from the first AND gate and **input C** are connected to an OR gate, resulting in output X. 4. **Input D** is connected to another NOT gate (inverter), creating D'. 5. The result D' is connected to an AND gate along with **input C**. 6. The output of this AND gate is connected to an OR gate with the **input C**, resulting in output Y. 7. A third AND gate combines **inputs C** and **D**. 8. This AND gate's output connects to another OR gate, resulting in output Z, which considers conditions directly from the outputs of AND gate and not through any inverter. Each output (X, Y, Z) depends on the combination of different logic gates applied on inputs A, B, C, and D.
Transcribed Image Text:**Question III** Write the three outputs of X, Y, and Z in terms of the four inputs A, B, C, and D for the following logic gates configuration. **Diagram Explanation:** The logic circuit consists of four inputs: A, B, C, and D. These inputs are connected to various logic gates (NOT, AND, and OR) to produce three outputs: X, Y, and Z. - **Inputs:** - A, B, C, D - **Outputs:** - X - Y - Z **Logic Gate Configuration:** 1. **Input A** is connected to a NOT gate (inverter), creating A'. 2. **Input B** directly connects to the first AND gate along with the NOT of A (A'). 3. The output from the first AND gate and **input C** are connected to an OR gate, resulting in output X. 4. **Input D** is connected to another NOT gate (inverter), creating D'. 5. The result D' is connected to an AND gate along with **input C**. 6. The output of this AND gate is connected to an OR gate with the **input C**, resulting in output Y. 7. A third AND gate combines **inputs C** and **D**. 8. This AND gate's output connects to another OR gate, resulting in output Z, which considers conditions directly from the outputs of AND gate and not through any inverter. Each output (X, Y, Z) depends on the combination of different logic gates applied on inputs A, B, C, and D.
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