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Draw circuit y=(a+b) (c+d) only using NOR gate

Draw circuit y=(a+b) (c+d) only using NOR gate

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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### Digital Logic Design Exercise **Objective:** Design a digital circuit using only NOR gates to implement the following Boolean expression: \[ Y = (a + b)(c + d) \] **Instructions:** 1. **Understand NOR Gate Functionality:** - The NOR gate is a universal gate. It performs the logical NOR operation, which is the negation of the OR operation. 2. **Convert the Expression:** - Use De Morgan’s Theorems and other logic transformations to convert the given expression into a form that employs only NOR gates. 3. **Design the Circuit:** - Draw the logic circuit diagram using only NOR gates based on your transformation of the original expression. **Tips:** - Recall that any Boolean function can be implemented using just NOR gates. - The NOR gate is equivalent to an OR gate followed by a NOT gate. - Apply the double inversion technique to mimic AND and OR functionalities using NOR gates. **Example Techniques:** - \[(a + b)'\] can be represented using a single NOR gate. - \[(a \cdot b) = ((a' + b')')\], allowing AND implementation through NOR. **Practice:** Try drawing the circuit on paper or using a digital circuit design tool to verify its operation.
Transcribed Image Text:### Digital Logic Design Exercise **Objective:** Design a digital circuit using only NOR gates to implement the following Boolean expression: \[ Y = (a + b)(c + d) \] **Instructions:** 1. **Understand NOR Gate Functionality:** - The NOR gate is a universal gate. It performs the logical NOR operation, which is the negation of the OR operation. 2. **Convert the Expression:** - Use De Morgan’s Theorems and other logic transformations to convert the given expression into a form that employs only NOR gates. 3. **Design the Circuit:** - Draw the logic circuit diagram using only NOR gates based on your transformation of the original expression. **Tips:** - Recall that any Boolean function can be implemented using just NOR gates. - The NOR gate is equivalent to an OR gate followed by a NOT gate. - Apply the double inversion technique to mimic AND and OR functionalities using NOR gates. **Example Techniques:** - \[(a + b)'\] can be represented using a single NOR gate. - \[(a \cdot b) = ((a' + b')')\], allowing AND implementation through NOR. **Practice:** Try drawing the circuit on paper or using a digital circuit design tool to verify its operation.
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