We are given an integrated circuit diagram with 14 pins, containing four NOR gates. We are given the input values for pins 1, 2, 5, 6, 8, 9, 12, and 13. The values are 0, 1, 1, 1, 0, 0, 0, 0, respectively. We are asked to determine the output values for pins 3, 4, 10, and 11.

Discrete MathematicsBoolean AlgebraLogic GatesDigital CircuitsNOR GateTruth Table
2025/3/31

1. Problem Description

We are given an integrated circuit diagram with 14 pins, containing four NOR gates. We are given the input values for pins 1, 2, 5, 6, 8, 9, 12, and
1

3. The values are 0, 1, 1, 1, 0, 0, 0, 0, respectively. We are asked to determine the output values for pins 3, 4, 10, and

1
1.

2. Solution Steps

The circuit consists of four NOR gates. The output of a NOR gate is 1 only if both inputs are 0, otherwise the output is

0. The truth table for the NOR gate is:

| Input A | Input B | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
* Pin 3 is the output of a NOR gate with inputs from pins 1 and

2. Pin 1 = 0 and Pin 2 =

1. Therefore, Pin 3 =

0. * Pin 4 is the output of a NOR gate with inputs from pins 5 and

6. Pin 5 = 1 and Pin 6 =

1. Therefore, Pin 4 =

0. * Pin 10 is the output of a NOR gate with inputs from pins 8 and

9. Pin 8 = 0 and Pin 9 =

0. Therefore, Pin 10 =

1. * Pin 11 is the output of a NOR gate with inputs from pins 12 and

1

3. Pin 12 = 0 and Pin 13 =

0. Therefore, Pin 11 =

1.

3. Final Answer

The output values for pins 3, 4, 10, and 11 are 0, 0, 1, 1 respectively.

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