Unsimplified Boolean expression and full truth table please The image depicts a digital logic circuit diagram with logic gates:1. **Inputs**: - There are four input signals labeled as A, B, C, and D.2. **First Layer of Logic Gates**: - The top logic gate is an OR gate with inputs A and B. The output of this gate is the logical OR of A and B. - The bottom logic gate is another OR gate with inputs C and D. The output of this gate is the logical OR of C and D.3. **Second Layer of Logic Gate**: - The outputs of the two OR gates serve as inputs to an AND gate. This AND gate performs a logical AND operation on its two inputs, producing the final output Y.4. **Output**: - The output of the AND gate is labeled as Y.In summary, this circuit computes the expression $ Y = (A \lor B) \land (C \lor D) $, where $\lor$ denotes the OR operation and $\land$ denotes the AND operation.

Answered: $ C D | bartleby

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Unsimplified Boolean expression and full truth table please

The image depicts a digital logic circuit diagram with logic gates:

1. **Inputs**:
- There are four input signals labeled as A, B, C, and D.

2. **First Layer of Logic Gates**:
- The top logic gate is an OR gate with inputs A and B. The output of this gate is the logical OR of A and B.
- The bottom logic gate is another OR gate with inputs C and D. The output of this gate is the logical OR of C and D.

3. **Second Layer of Logic Gate**:
- The outputs of the two OR gates serve as inputs to an AND gate. This AND gate performs a logical AND operation on its two inputs, producing the final output Y.

4. **Output**:
- The output of the AND gate is labeled as Y.

In summary, this circuit computes the expression $ Y = (A \lor B) \land (C \lor D) $, where $\lor$ denotes the OR operation and $\land$ denotes the AND operation.

Expert Solution

Step 1

Solution -

The logic circuit shown in given figure has four inputs A, B, C and D. Forming a logic circuit with a combination of OR and AND gates.

Gate-1: (OR GATE)

Two inputs of logic gate - 1 is given as A and B.

The inputs A and B are connected to OR gate producing an output of A+B .

Gate-2: (OR GATE )

The logic gate - 2 is same as Gate 1 only difference is it has input C and D

The inputs C and D are connected to OR gate producing an output of C+D .

Gate-3: (AND GATE)

The logic gate-3 has two inputs i.e A+B and C + D . One input is obtained from the output of OR gate-1 and the second input is obtained by same second OR gate 2 .

The inputs A+B and C+D are connected to AND gate producing an output of Y= (A+B) . (C+D).

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