Boolean expression and truth table 16 row pls
![This image depicts a logic circuit diagram composed of two OR gates and one AND gate. Here’s a detailed explanation of the elements and connections:
- **Inputs:**
- A, B, C, D: These are the inputs to the logic gates.
- **Logic Gates:**
- **OR Gate 1:** Takes inputs A and B. The output of this gate is connected to one of the inputs of the AND gate.
- **OR Gate 2:** Takes inputs C and D. The output of this gate is connected to the other input of the AND gate.
- **AND Gate:**
- Combines the outputs from the two OR gates. The final output of this AND gate is labeled as Y.
This setup can be used to calculate the logic output Y based on the binary inputs A, B, C, and D. The expression for Y can be represented as:
\[ Y = (A \lor B) \land (C \lor D) \]
This means Y is true if the combination of input conditions satisfies the expression above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d0965ec-e02e-4363-aba0-fca3ccf5b9fe%2F28b9cc52-0d19-4dfa-8fb4-0de39df8a63c%2Fb1vfefm_processed.jpeg&w=3840&q=75)
Solution- The truth table and boolean expression is shown below-
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 A and B are given in logic gate - 1 .
The inputs A and B are connected to OR gate producing an output of A+B.
Let assume output of A+B =E
Gate-2: ( OR gate)
Two inputs C and D are given in logic gate - 2 .
The inputs A and B are connected to OR gate producing an output of C+D.
Let assume output of C+D=F
Gate-3: (AND gate)
The logic gate-3 has two inputs. One input is obtained from the output of gate-1 and the second input is from logic gate -2.
The inputs A+B and C+D are connected to AND gate producing an output of (Y= A+B . C+D) or( Y=E.F)
Step by step
Solved in 2 steps with 2 images
