The question describes an integrated circuit (IC) with specific pin connections. Given inputs of 1 and 0 to pins 1 and 2, respectively, the problem asks for the outputs at pins 3 and 6. The IC diagram must be interpreted as a series of AND gates.

Discrete MathematicsBoolean AlgebraLogic GatesCircuit Analysis
2025/7/30

1. Problem Description

The question describes an integrated circuit (IC) with specific pin connections. Given inputs of 1 and 0 to pins 1 and 2, respectively, the problem asks for the outputs at pins 3 and

6. The IC diagram must be interpreted as a series of AND gates.

2. Solution Steps

First, consider the inputs to pins 1 and 2 are 1 and 0, respectively.
Pins 3 and 4 are connected internally. Therefore, if we can find out the output of the first AND gate connected to pin 1 and 2, then the same value applies to the input of pins 3 and

4. The inputs to the first AND gate are 1 and 0, so the output of this AND gate is $1 \cdot 0 = 0$.

Thus, the value at pin 3 is
0.
Pins 2 and 5 are also connected internally. As the value at pin 2 is 0, the value at pin 5 is also

0. The inputs to the second AND gate (before pin 6) are the value from pin 4, which is 0, and the output from another AND gate above it which takes its inputs from pins 13 and 12 (values unspecified).

However, because one of the inputs (the one from pin 4) is 0, regardless of what comes from pins 13 and 12, the second AND gate's output will be

0. Therefore the output at pin 6 will be

0.
So, pin 3 has a value of 0 and pin 6 has a value of
0.

3. Final Answer

(2) 0,0

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