Pregunta
- Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the output. You must
label the input(s) and the output for each one of the gates. Simply writing/labeling the final output will result in 0
credit awarded. (15 points)
label the input(s) and the output for each one of the gates. Simply writing/labeling the final output will result in 0
credit awarded. (15 points)
Ask by Parry Estrada. in the United States
Mar 29,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Combinatorial Circuit Diagram:
-
Inverter (I1):
- Input:
- Output:
- Input:
-
OR Gate (O1):
- Inputs:
and - Output:
- Inputs:
-
AND Gate (A1):
- Inputs:
and - Output:
- Inputs:
-
Inverter (I2):
- Input:
- Output:
- Input:
Final Output:
Summary:
- Inputs:
, , - Outputs:
Each gate is labeled with its inputs and outputs as shown in the diagram.
Solución
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Como
Bonus Knowledge
To construct a combinatorial circuit for the expression
Start with three inputs: p, q, and r.
-
The first step is to negate r using an inverter (let’s call this output R’). The input will be r, so:
- Input: r
- Output: R’ = \neg r
-
Next, we combine q and R’ using an OR gate (output Q’). The inputs are q and R’, so:
- Input: q, R’
- Output: Q’ = q \vee \neg r
-
Then, we combine p and Q’ using an AND gate (output PQ). The inputs are p and Q’, so:
- Input: p, Q’
- Output: PQ = p \wedge (q \vee \neg r)
-
Finally, we negate the PQ output using another inverter to get the final output (output F). The input will be PQ, so:
- Input: PQ
- Output: F = \neg (p \wedge (q \vee \neg r))
Your final circuit will consist of:
- One inverter with input r and output R’
- One OR gate with inputs q and R’, output Q’
- One AND gate with inputs p and Q’, output PQ
- One final inverter with input PQ, producing the desired output F.
This way, you have constructed a circuit that accurately computes the expression!
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