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Can anyone please help me to draw a Logic Diagram for the Design Equation: D1=A’Q1’Q0 + AQ1 + Q1Q0’ ?

Can anyone please help me to draw a Logic Diagram for the Design Equation: D1=A’Q1’Q0 + AQ1 + Q1Q0’ ?

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
Problem 1PE
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Can anyone please help me to draw a Logic Diagram for the Design Equation: D1=A’Q1’Q0 + AQ1 + Q1Q0’ ? I am stuck! ( This question is not a part of any graded assignment)
**Title:** Understanding and Designing Logic Equations **Design Equation:** \[ D1 = A'Q'QO + AQI + QIQO' \] **Task:** Draw a logic diagram for \( D1 \). **Explanation:** The above equation involves logic gates and inputs such as \( A' \), \( Q' \), \( QO \), \( AQI \), and \( QIQO' \). Here’s what the terms mean: - \( A' \), \( Q' \), etc., denote the NOT operation on inputs A and Q. - \( AQI \) and others like it indicate AND operations between the inputs. - The full equation seems to be simplified with OR operations. **Steps to Draw the Logic Diagram:** 1. **Identify Inputs and Operations:** - Inputs: \( A \), \( Q \), \( QO \), \( QI \) - Operations: NOT, AND, and OR 2. **Draw the NOT Gates:** - Apply NOT to \( A \) to get \( A' \). - Apply NOT to \( Q \) to get \( Q' \). - Apply NOT to \( QO \) as needed (for \( QO' \)). 3. **Draw the AND Gates:** - Connect \( A' \), \( Q' \), and \( QO \) to an AND gate. - Connect \( A \) and \( QI \) to another AND gate. - Connect \( QI \) and \( QO' \) to yet another AND gate. 4. **Draw the OR Gate:** - Combine the outputs of the above AND gates using an OR gate. - The resulting output will be \( D1 \). This diagram showcases the logical structure of how inputs are processed to achieve the desired output \( D1 \) as per the design equation.
Transcribed Image Text:**Title:** Understanding and Designing Logic Equations **Design Equation:** \[ D1 = A'Q'QO + AQI + QIQO' \] **Task:** Draw a logic diagram for \( D1 \). **Explanation:** The above equation involves logic gates and inputs such as \( A' \), \( Q' \), \( QO \), \( AQI \), and \( QIQO' \). Here’s what the terms mean: - \( A' \), \( Q' \), etc., denote the NOT operation on inputs A and Q. - \( AQI \) and others like it indicate AND operations between the inputs. - The full equation seems to be simplified with OR operations. **Steps to Draw the Logic Diagram:** 1. **Identify Inputs and Operations:** - Inputs: \( A \), \( Q \), \( QO \), \( QI \) - Operations: NOT, AND, and OR 2. **Draw the NOT Gates:** - Apply NOT to \( A \) to get \( A' \). - Apply NOT to \( Q \) to get \( Q' \). - Apply NOT to \( QO \) as needed (for \( QO' \)). 3. **Draw the AND Gates:** - Connect \( A' \), \( Q' \), and \( QO \) to an AND gate. - Connect \( A \) and \( QI \) to another AND gate. - Connect \( QI \) and \( QO' \) to yet another AND gate. 4. **Draw the OR Gate:** - Combine the outputs of the above AND gates using an OR gate. - The resulting output will be \( D1 \). This diagram showcases the logical structure of how inputs are processed to achieve the desired output \( D1 \) as per the design equation.
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