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a)What circuit is described by the following truth table? b) Please provide Boolean expressions for the Sum and C-Out  * Sum = F(A,B, C-IN)    Sum =  * C-Out = F(A,B,C-IN)    C-Out =

a)What circuit is described by the following truth table? b) Please provide Boolean expressions for the Sum and C-Out  * Sum = F(A,B, C-IN)    Sum =  * C-Out = F(A,B,C-IN)    C-Out =

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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a)What circuit is described by the following truth table?

b) Please provide Boolean expressions for the Sum and C-Out

 * Sum = F(A,B, C-IN)

   Sum = 

* C-Out = F(A,B,C-IN)

   C-Out =

The image depicts a truth table for a full adder circuit, which is a fundamental component in digital electronics used for binary addition. The table includes three input columns labeled A, B, and C-IN, and two output columns labeled Sum and C-Out. ### Truth Table: | A | B | C-IN | Sum | C-Out | |---|---|------|-----|-------| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 | ### Explanation: - **Inputs:** - **A:** First binary digit. - **B:** Second binary digit. - **C-IN:** Carry-in from the previous less significant bit position. - **Outputs:** - **Sum:** Resulting sum of the binary addition at this position. - **C-Out:** Carry-out to the next more significant bit position. This truth table demonstrates how binary digits are added together, incorporating any carry from previous operations and determining the new carry for subsequent operations. This is essential in designing circuits that perform arithmetic operations in digital devices.
Transcribed Image Text:The image depicts a truth table for a full adder circuit, which is a fundamental component in digital electronics used for binary addition. The table includes three input columns labeled A, B, and C-IN, and two output columns labeled Sum and C-Out. ### Truth Table: | A | B | C-IN | Sum | C-Out | |---|---|------|-----|-------| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 1 | 0 | | 0 | 1 | 0 | 1 | 0 | | 0 | 1 | 1 | 0 | 1 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 1 | | 1 | 1 | 0 | 0 | 1 | | 1 | 1 | 1 | 1 | 1 | ### Explanation: - **Inputs:** - **A:** First binary digit. - **B:** Second binary digit. - **C-IN:** Carry-in from the previous less significant bit position. - **Outputs:** - **Sum:** Resulting sum of the binary addition at this position. - **C-Out:** Carry-out to the next more significant bit position. This truth table demonstrates how binary digits are added together, incorporating any carry from previous operations and determining the new carry for subsequent operations. This is essential in designing circuits that perform arithmetic operations in digital devices.
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Here in this question we have given a table with three input and two output.so with the help of this table we have asked to find expression for both output.and in the second part we have to design the circuit for the output.

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