Geometric shapes and their properties worksheet.

Problem Analysis:

The task involves matching different types of logic gates with their corresponding symbols and truth tables. The goal is to identify the correct gate for each row based on the provided information.

Known Information:

1. Logic Gates: AND, OR, NOT, NAND, NOR, XOR, XNOR.
2. Symbols: Each gate has a unique symbol.
3. Truth Tables: Each gate has a specific truth table that defines its output for all possible input combinations.

Solution Approach:

We will analyze each row step by step, identifying the correct gate based on the given information (symbol or truth table).

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#### Row 1:
- Symbol: A circle with a dot inside it.
- Explanation: This symbol represents the NOT gate. The NOT gate inverts the input signal.
- Answer: NOT

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#### Row 2:
- Truth Table:
- Input A | Input B | Output
- 0 | 0 | 1
- 0 | 1 | 1
- 1 | 0 | 1
- 1 | 1 | 0
- Explanation: The truth table shows that the output is `1` when both inputs are not `1`. This matches the behavior of the NAND gate.
- Answer: NAND

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#### Row 3:
- Symbol: A triangle with an arrow pointing outward.
- Explanation: This symbol represents the XOR gate. The XOR gate outputs `1` only when the inputs are different.
- Answer: XOR

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#### Row 4:
- Truth Table:
- Input A | Input B | Output
- 0 | 0 | 0
- 0 | 1 | 1
- 1 | 0 | 1
- 1 | 1 | 1
- Explanation: The truth table shows that the output is `1` when at least one input is `1`. This matches the behavior of the OR gate.
- Answer: OR

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#### Row 5:
- Symbol: A triangle with a small circle at the output.
- Explanation: This symbol represents the NOR gate. The NOR gate outputs `1` only when both inputs are `0`.
- Answer: NOR

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#### Row 6:
- Truth Table:
- Input A | Input B | Output
- 0 | 0 | 0
- 0 | 1 | 0
- 1 | 0 | 0
- 1 | 1 | 1
- Explanation: The truth table shows that the output is `1` only when both inputs are `1`. This matches the behavior of the AND gate.
- Answer: AND

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#### Row 7:
- Symbol: A triangle with no additional markings.
- Explanation: This symbol represents the XNOR gate. The XNOR gate outputs `1` when the inputs are the same.
- Answer: XNOR

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Final Answer:

Based on the analysis, the correct gates for each row are:

1. NOT
2. NAND
3. XOR
4. OR
5. NOR
6. AND
7. XNOR

$$
\boxed{\text{NOT, NAND, XOR, OR, NOR, AND, XNOR}}
$$