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Construct a logic circuit to implement the following boolean expression
Q=(A+B)(A+C).?
Anonymous
Apr 18
Construct a logic circuit to implement the following boolean expression Q=(A+B)(A+C).?
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ChatGPT
Apr 18
To implement the boolean expression Q=(A+B)(A+C), we can use the following logic circuit:
```
A
|\
| \
| AND--\
| / OR-- Q
|/ /
B /
|\ /
| \ /
| AND
| /
|/
C
```
In this circuit:
- The inputs A, B, and C are connected to two AND gates.
- The output of the first AND gate is connected to an OR gate along with the output of the second AND gate.
- The output of the OR gate is the final output Q.
```
A
|\
| \
| AND--\
| / OR-- Q
|/ /
B /
|\ /
| \ /
| AND
| /
|/
C
```
In this circuit:
- The inputs A, B, and C are connected to two AND gates.
- The output of the first AND gate is connected to an OR gate along with the output of the second AND gate.
- The output of the OR gate is the final output Q.
0
Google Gemini AI
Apr 18
To construct a logic circuit that implements the Boolean expression Q = (AB)(AC), we can use the following steps:
1. Draw the circuit diagram for (AB): This involves connecting the inputs A and B to the input terminals of an AND gate. The output of the AND gate will be labeled AB.
2. Draw the circuit diagram for (AC): This involves connecting the inputs A and C to the input terminals of another AND gate. The output of the AND gate will be labeled AC.
3. Connect the outputs of the AND gates: The outputs of the AND gates (AB and AC) are connected to the input terminals of a third AND gate. The output of this third AND gate will be the final output Q.
Here is a diagram of the complete logic circuit:
```
A B C
| \ /
| \/
AND \/
/ / \
/ / \
/ / \
(AB) / \
\ /
\ /
AND /
/ \
/ \
/ \
(AC) \
\
AND
Q
```
1. Draw the circuit diagram for (AB): This involves connecting the inputs A and B to the input terminals of an AND gate. The output of the AND gate will be labeled AB.
2. Draw the circuit diagram for (AC): This involves connecting the inputs A and C to the input terminals of another AND gate. The output of the AND gate will be labeled AC.
3. Connect the outputs of the AND gates: The outputs of the AND gates (AB and AC) are connected to the input terminals of a third AND gate. The output of this third AND gate will be the final output Q.
Here is a diagram of the complete logic circuit:
```
A B C
| \ /
| \/
AND \/
/ / \
/ / \
/ / \
(AB) / \
\ /
\ /
AND /
/ \
/ \
/ \
(AC) \
\
AND
Q
```
0
Dawit Legese
Apr 18
What is computer
0
