Simple Logic Gate Homework: Complete Truth Table

In summary, a logic gate is a fundamental component of digital circuits that performs logical operations on binary inputs to produce a binary output. A truth table is a mathematical table that shows all possible input and output combinations for a given logic gate. To complete a truth table, one must identify the inputs and use the logical operation to determine the output for each combination. The basic types of logic gates are AND, OR, and NOT gates. Completing a truth table is important for understanding and designing digital systems.
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moenste
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Homework Statement


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Complete the truth table for the simple combination of logic gates shown above.

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2. The attempt at a solution
I think this should be correct, but just want to check, since I don't have a book answer to compare:

45e6abf4d8a9.jpg
 
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Looks fine.
 
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1. What is a logic gate?

A logic gate is a basic building block of digital circuits that performs a logical operation on one or more binary inputs and produces a single binary output. It is a fundamental element in designing and analyzing digital systems.

2. What is a truth table?

A truth table is a mathematical table that lists all possible combinations of inputs for a given logical operation and shows the corresponding output for each combination. It is used to represent the behavior of a logic gate or a logical expression.

3. How do I complete a truth table for a simple logic gate?

To complete a truth table for a simple logic gate, you need to first identify the number of inputs and outputs for the gate. Then, list all possible combinations of inputs in the leftmost columns and use the corresponding logical operation to determine the output for each combination.

4. What are the basic types of logic gates?

The basic types of logic gates are AND, OR, and NOT gates. The AND gate produces an output only when all of its inputs are 1, the OR gate produces an output when any of its inputs are 1, and the NOT gate produces the opposite of its input.

5. Why is completing a truth table important?

Completing a truth table is important because it helps in understanding the behavior and functionality of a logic gate. It also allows for the analysis and design of more complex digital systems by combining multiple logic gates and their truth tables.

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