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Construct a logic circuit to implement the following boolean expression
Q=(A+B)(A+C).?

Apr 18

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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.

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.

2.

3.

Here is a diagram of the complete logic circuit:

```

A B C

| \ /

| \/

AND \/

/ / \

/ / \

/ / \

(AB) / \

\ /

\ /

AND /

/ \

/ \

/ \

(AC) \

\

AND

Q

```

Dawit Legese

Apr 18

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