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

Let’s solve this step by step.

We have three basic logic gates to label and fill truth tables for, then a combination of two gates.

---

First Gate (left):

Description: “This gate takes two inputs and gives an output if either one input or the other input or both inputs are true.”

→ That’s an OR gate.

Truth table for OR:
- 0 OR 0 = 0
- 0 OR 1 = 1
- 1 OR 0 = 1
- 1 OR 1 = 1

So Output column: 0, 1, 1, 1

---

Second Gate (middle):

Description: “This gate takes two inputs and gives an output only if both inputs are true.”

→ That’s an AND gate.

Truth table for AND:
- 0 AND 0 = 0
- 0 AND 1 = 0
- 1 AND 0 = 0
- 1 AND 1 = 1

So Output column: 0, 0, 0, 1

---

Third Gate (right):

Description: “This gate takes one input and gives an output that is the opposite value to the input.”

→ That’s a NOT gate (also called inverter).

Truth table for NOT:
- Input 0 → Output 1
- Input 1 → Output 0

So Output column: 1, 0

---

Now, the combination circuit:

It has:
- Input A goes into a NOT gate → output is C
- Input B goes directly to an AND gate
- The AND gate also gets C as its other input
- Final output is from the AND gate

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 combined truth table:

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

---

Final Answer:

Gate labels (left to right):
OR, AND, 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 Truth Table:
Input A | Input B | C | Output
0 | 0 | 1 | 0
0 | 1 | 1 | 1
1 | 0 | 0 | 0
1 | 1 | 0 | 0