Solved Logic gates worksheet, Computer Science. Please | Chegg.com - Free Printable

Let’s solve this step by step.

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Part 1: Label the gates and fill in their truth tables

#### First gate (left):
- Shape: Curved input side, pointed output → OR gate
- Description: “Takes two inputs and gives an output if either one input or the other input or both inputs are true” → That’s OR.
- Truth table for OR:
- 0 OR 0 = 0
- 0 OR 1 = 1
- 1 OR 0 = 1
- 1 OR 1 = 1

So fill in:
```
Input A | Input B | Output
0 | 0 | 0
0 | 1 | 1
1 | 0 | 1
1 | 1 | 1
```

#### Second gate (middle):
- Shape: Flat input side, rounded output → AND gate
- Description: “Takes two inputs and gives an output only if both inputs are true” → That’s AND.
- Truth table for AND:
- 0 AND 0 = 0
- 0 AND 1 = 0
- 1 AND 0 = 0
- 1 AND 1 = 1

But note: The table shown only has 2 rows filled? Wait — looking again, it shows 4 rows but only first two have values? Actually, no — the image shows a 4-row table for AND too. Let me check:

Actually, in the image, the middle table has 4 rows (same as left), so we fill all 4:

```
Input A | Input B | Output
0 | 0 | 0
0 | 1 | 0
1 | 0 | 0
1 | 1 | 1
```

Wait — in the original image, the middle table only shows 2 rows with data? No — actually, looking carefully, the user’s image shows:

For the middle gate (AND), the truth table has 4 rows, same as OR. So yes, fill all 4.

#### Third gate (right):
- Shape: Triangle with circle at output → NOT gate (inverter)
- Description: “Takes one input and gives an output that is the opposite value to the input” → NOT.
- Truth table:
- Input 0 → Output 1
- Input 1 → Output 0

So:
```
Input | Output
0 | 1
1 | 0
```

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Part 2: Combination of two gates

We have:
- Input A goes into a NOT gate → output is C
- Then C and Input B go into an AND gate → final Output

So:
C = NOT A
Output = C AND B = (NOT A) AND B

Let’s compute row by row:

Row 1: A=0, B=0
→ C = NOT 0 = 1
→ Output = 1 AND 0 = 0

Row 2: A=0, B=1
→ C = NOT 0 = 1
→ Output = 1 AND 1 = 1

Row 3: A=1, B=0
→ C = NOT 1 = 0
→ Output = 0 AND 0 = 0

Row 4: A=1, B=1
→ C = NOT 1 = 0
→ Output = 0 AND 1 = 0

So the table becomes:

```
Input A | Input B | C | Output
0 | 0 | 1 | 0
0 | 1 | 1 | 1
1 | 0 | 0 | 0
1 | 1 | 0 | 0
```

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Final Answer:

Gate Labels:
- Left gate: OR
- Middle gate: AND
- Right gate: NOT

Truth Tables:

*OR Gate:*
| Input A | Input B | Output |
|---------|---------|--------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |

*AND Gate:*
| Input A | Input B | Output |
|---------|---------|--------|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

*NOT Gate:*
| Input | Output |
|-------|--------|
| 0 | 1 |
| 1 | 0 |

*Combined Circuit Table:*
| Input A | Input B | C | Output |
|---------|---------|-----|--------|
| 0 | 0 | 1 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 1 | 0 | 0 |