4. ABC = X LCD=X AB ABC
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Please draw truth table #4
![### Digital Logic Gates and Boolean Algebra
#### Diagrams and Explanations
1. **A + B = X**
- This is an OR gate where the inputs are A and B, and the output is X.
- **Truth Table**:
\[
\begin{array}{|c|c|c|}
\hline
A & B & A+B \\
\hline
0 & 0 & 0 \\
0 & 1 & 1 \\
1 & 0 & 1 \\
1 & 1 & 1 \\
\hline
\end{array}
\]
- Diagram:
2. **A = X**
- This may be an illustration of a basic connection where the input A directly results in output X.
3. **A = X̅**
- This indicates NOT gate (inverter), where input A is negated to produce output X.
- **Truth Table**:
\[
\begin{array}{|c|c|}
\hline
A & X̅ \\
\hline
0 & 1 \\
1 & 0 \\
\hline
\end{array}
\]
- Diagram:
4. **ABC = X**
- This represents an AND gate having three inputs, A, B, and C, with the product giving output X.
- Diagram:
5. **AB + CD = X**
- A combination of two AND gates and an OR gate. Inputs A and B are connected to one AND gate, and inputs C and D to another. The outputs of these AND gates are then connected to an OR gate for the final output X.
6. **](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa707ac10-329d-44ed-a2d8-7c39812650b2%2F68c237fb-47ce-490d-820e-ffef64dde971%2Fsmsoh6c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Digital Logic Gates and Boolean Algebra
#### Diagrams and Explanations
1. **A + B = X**
- This is an OR gate where the inputs are A and B, and the output is X.
- **Truth Table**:
\[
\begin{array}{|c|c|c|}
\hline
A & B & A+B \\
\hline
0 & 0 & 0 \\
0 & 1 & 1 \\
1 & 0 & 1 \\
1 & 1 & 1 \\
\hline
\end{array}
\]
- Diagram:
2. **A = X**
- This may be an illustration of a basic connection where the input A directly results in output X.
3. **A = X̅**
- This indicates NOT gate (inverter), where input A is negated to produce output X.
- **Truth Table**:
\[
\begin{array}{|c|c|}
\hline
A & X̅ \\
\hline
0 & 1 \\
1 & 0 \\
\hline
\end{array}
\]
- Diagram:
4. **ABC = X**
- This represents an AND gate having three inputs, A, B, and C, with the product giving output X.
- Diagram:
5. **AB + CD = X**
- A combination of two AND gates and an OR gate. Inputs A and B are connected to one AND gate, and inputs C and D to another. The outputs of these AND gates are then connected to an OR gate for the final output X.
6. **
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