Design the circuit for Y= A+BC+AB+ABC

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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**Design the Circuit for Boolean Expression:**

Y = A + BC + AB + ABC

In designing a digital logic circuit for this Boolean expression, the following steps are typically involved:

1. **Identify Variables and Terms:**
   - The expression consists of three variables: A, B, and C.
   - It includes the terms: A, BC, AB, and ABC.

2. **Construct Logic Gates:**
   - Use an OR gate to combine the output of all terms.
   - Implement each term using AND gates.
     - Term A can be directly connected since it is a single variable.
     - Term BC requires an AND gate with inputs B and C.
     - Term AB requires an AND gate with inputs A and B.
     - Term ABC requires an AND gate with inputs A, B, and C.

3. **Connect the Gates:**
   - Connect the output of each AND gate (representing terms BC, AB, and ABC) and the single variable A directly to the inputs of an OR gate.
   - The final output of the OR gate is Y.

This design will ensure that the circuit fulfills the Boolean expression by outputting Y when any of the conditions (A, BC, AB, ABC) are met.
Transcribed Image Text:**Design the Circuit for Boolean Expression:** Y = A + BC + AB + ABC In designing a digital logic circuit for this Boolean expression, the following steps are typically involved: 1. **Identify Variables and Terms:** - The expression consists of three variables: A, B, and C. - It includes the terms: A, BC, AB, and ABC. 2. **Construct Logic Gates:** - Use an OR gate to combine the output of all terms. - Implement each term using AND gates. - Term A can be directly connected since it is a single variable. - Term BC requires an AND gate with inputs B and C. - Term AB requires an AND gate with inputs A and B. - Term ABC requires an AND gate with inputs A, B, and C. 3. **Connect the Gates:** - Connect the output of each AND gate (representing terms BC, AB, and ABC) and the single variable A directly to the inputs of an OR gate. - The final output of the OR gate is Y. This design will ensure that the circuit fulfills the Boolean expression by outputting Y when any of the conditions (A, BC, AB, ABC) are met.
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