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Can you use the attached photo to fill in a truth table, write the logic expression (a function in Boolean form) and then the sum of product and product of sums of the same expression?  I have completed this problem and know how to do it, I would just like to compare my results with a tutor's to see how accurate my calculations are.  You do not need to show excessive detail in how you came to your conclusion.  Thank you.

Can you use the attached photo to fill in a truth table, write the logic expression (a function in Boolean form) and then the sum of product and product of sums of the same expression?  I have completed this problem and know how to do it, I would just like to compare my results with a tutor's to see how accurate my calculations are.  You do not need to show excessive detail in how you came to your conclusion.  Thank you.

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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Can you use the attached photo to fill in a truth table, write the logic expression (a function in Boolean form) and then the sum of product and product of sums of the same expression?  I have completed this problem and know how to do it, I would just like to compare my results with a tutor's to see how accurate my calculations are.  You do not need to show excessive detail in how you came to your conclusion.  Thank you.

### Logic Circuit Analysis #### Circuit Diagram The circuit presented consists of the following components: - **AND Gate (T1):** Takes inputs A and B. - **NOT Gate (T2):** Takes input C and outputs the inverse. - **OR Gate (T3):** Takes the outputs from T1 and T2. - **AND Gate (T4):** Takes inputs B and C. - **AND Gate for Output (X):** Takes the outputs from T3 and T4 to produce X. #### Truth Table | A | B | C | T1 | T2 | T3 | T4 | X | |---|---|---|----|----|----|----|---| | 0 | 0 | 0 | | | | | | | 0 | 0 | 1 | | | | | | | 0 | 1 | 0 | | | | | | | 0 | 1 | 1 | | | | | | | 1 | 0 | 0 | | | | | | | 1 | 0 | 1 | | | | | | | 1 | 1 | 0 | | | | | | | 1 | 1 | 1 | | | | | | Each row in the truth table represents a possible combination of inputs (A, B, C) and the resulting states of intermediate signals (T1, T2, T3, T4) leading to the final output (X). The values will be determined by performing operations in accordance with the gates involved. #### Logic Expression The circuit can be expressed in a logic equation form as follows: **Logic Expression:** \[ X = \] - Combine the expressions from each gate in the circuit to determine the final output \( X \). #### Sum of Products (SoP) Form The **Sum of Products** form is a standardized way of expressing the logic output where the output is true: \[ X = \] #### Product of Sums (PoS) Form The **Product of Sums** form expresses the logic in terms of the inputs being false: \[ X = \] Fill in the expressions by analyzing the circuit's logic gate
Transcribed Image Text:### Logic Circuit Analysis #### Circuit Diagram The circuit presented consists of the following components: - **AND Gate (T1):** Takes inputs A and B. - **NOT Gate (T2):** Takes input C and outputs the inverse. - **OR Gate (T3):** Takes the outputs from T1 and T2. - **AND Gate (T4):** Takes inputs B and C. - **AND Gate for Output (X):** Takes the outputs from T3 and T4 to produce X. #### Truth Table | A | B | C | T1 | T2 | T3 | T4 | X | |---|---|---|----|----|----|----|---| | 0 | 0 | 0 | | | | | | | 0 | 0 | 1 | | | | | | | 0 | 1 | 0 | | | | | | | 0 | 1 | 1 | | | | | | | 1 | 0 | 0 | | | | | | | 1 | 0 | 1 | | | | | | | 1 | 1 | 0 | | | | | | | 1 | 1 | 1 | | | | | | Each row in the truth table represents a possible combination of inputs (A, B, C) and the resulting states of intermediate signals (T1, T2, T3, T4) leading to the final output (X). The values will be determined by performing operations in accordance with the gates involved. #### Logic Expression The circuit can be expressed in a logic equation form as follows: **Logic Expression:** \[ X = \] - Combine the expressions from each gate in the circuit to determine the final output \( X \). #### Sum of Products (SoP) Form The **Sum of Products** form is a standardized way of expressing the logic output where the output is true: \[ X = \] #### Product of Sums (PoS) Form The **Product of Sums** form expresses the logic in terms of the inputs being false: \[ X = \] Fill in the expressions by analyzing the circuit's logic gate
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