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.
Transcribed Image Text: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 DForming 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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