Draw the truth table for the following full adder. Based on the binary addition rules given in the PowerPoint presentation, does this circuit give the correct results for each possible combination? Select this image and copy to clipboard.  Paste into Paint and use the text tool to annotate the signals present at all gate inputs and outputs, illustrating the addition of A=1, B=1, with a carry bit =1 coming from the previous column. Copy and paste your image into this document, giving a ½” border

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Chapter2: Second-order Linear Odes
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Draw the truth table for the following full adder. Based on the binary addition rules given in the PowerPoint presentation, does this circuit give the correct results for each possible combination?

Select this image and copy to clipboard.  Paste into Paint and use the text tool to annotate the signals present at all gate inputs and outputs, illustrating the addition of A=1, B=1, with a carry bit =1 coming from the previous column.

Copy and paste your image into this document, giving a ½” border

This image shows a logic circuit diagram for a Full Adder, which is used in digital electronics to perform binary addition. Here's a breakdown of the components:

### Inputs:
- **A, B, C**: These are the three binary inputs to the Full Adder.

### Logic Gates:
- **NOT Gates**: There are three NOT gates, each taking an input (A, B, or C) and outputting their negations (\(\overline{A}\), \(\overline{B}\), \(\overline{C}\)).

- **AND Gates**: Several AND gates create outputs based on combinations of inputs:
  - \(\overline{A}BC\)
  - \(A\overline{B}C\)
  - \(AB\overline{C}\)
  - \(BC\)
  - \(AC\)
  - \(AB\)

- **OR Gates**: The outputs of the AND gates are then passed to OR gates to compute the Sum and Carry:
  - The three AND gate outputs (\(\overline{A}BC\), \(A\overline{B}C\), \(AB\overline{C}\)) are combined in an OR gate to produce the **Sum**.
  - The AND gate outputs (\(BC\), \(AC\), \(AB\)) are combined in another OR gate to produce the **Carry**.

### Outputs:
- **Sum**: Reflects the result of the addition without considering the carry.
- **Carry**: Represents the carry-out from the binary addition.

This Full Adder circuit showcases how simple logic gates can be combined to perform basic arithmetic operations in binary form.
Transcribed Image Text:This image shows a logic circuit diagram for a Full Adder, which is used in digital electronics to perform binary addition. Here's a breakdown of the components: ### Inputs: - **A, B, C**: These are the three binary inputs to the Full Adder. ### Logic Gates: - **NOT Gates**: There are three NOT gates, each taking an input (A, B, or C) and outputting their negations (\(\overline{A}\), \(\overline{B}\), \(\overline{C}\)). - **AND Gates**: Several AND gates create outputs based on combinations of inputs: - \(\overline{A}BC\) - \(A\overline{B}C\) - \(AB\overline{C}\) - \(BC\) - \(AC\) - \(AB\) - **OR Gates**: The outputs of the AND gates are then passed to OR gates to compute the Sum and Carry: - The three AND gate outputs (\(\overline{A}BC\), \(A\overline{B}C\), \(AB\overline{C}\)) are combined in an OR gate to produce the **Sum**. - The AND gate outputs (\(BC\), \(AC\), \(AB\)) are combined in another OR gate to produce the **Carry**. ### Outputs: - **Sum**: Reflects the result of the addition without considering the carry. - **Carry**: Represents the carry-out from the binary addition. This Full Adder circuit showcases how simple logic gates can be combined to perform basic arithmetic operations in binary form.
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