Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Each product term of a group, w’.x.y&rs...
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Each product term of a group, w’.x.y’ and w.y, represents the ____________ in that group.
- a)Input
- b)POS
- c)Sum-of-Minterms
- d)Sum of Maxterms
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Each product term of a group, w’.x.y’ and w.y, represents ...
Understanding Product Terms in Boolean Algebra
In Boolean algebra, product terms and their representations are foundational concepts, especially when discussing logic functions and circuit design. The terms w’.x.y’ and w.y are examples of the product of variables.
What are Product Terms?
- A product term is a conjunction (AND operation) of literals (variables or their complements).
- Each product term corresponds to a specific condition under which the output of a function is true (1).
Group Representation: Sum of Minterms
- The correct answer to the question is "Sum of Minterms".
- The term "minterm" refers to a product term that represents a unique combination of input variables that results in a true output.
Why is it a Sum of Minterms?
- Each product term contributes to a specific row in the truth table where the function evaluates to 1.
- The sum (OR operation) of all these product terms gives the complete representation of the function.
Characteristics of Minterms:
- Minterms are represented by a binary number indicating the state of each variable.
- For example:
- w’.x.y’ = True when w=0, x=1, y=0 (one specific combination).
- w.y = True when w=1, y=1 (another combination).
Conclusion
- By stating that w’.x.y’ and w.y represent the "Sum of Minterms," we acknowledge that these terms define specific scenarios where the output of a logical function is 1.
- This understanding is crucial for designing digital circuits and simplifying Boolean expressions.
In summary, recognizing product terms as part of the Sum of Minterms allows for a clear interpretation of logical relationships in digital systems.
In Boolean algebra, product terms and their representations are foundational concepts, especially when discussing logic functions and circuit design. The terms w’.x.y’ and w.y are examples of the product of variables.
What are Product Terms?
- A product term is a conjunction (AND operation) of literals (variables or their complements).
- Each product term corresponds to a specific condition under which the output of a function is true (1).
Group Representation: Sum of Minterms
- The correct answer to the question is "Sum of Minterms".
- The term "minterm" refers to a product term that represents a unique combination of input variables that results in a true output.
Why is it a Sum of Minterms?
- Each product term contributes to a specific row in the truth table where the function evaluates to 1.
- The sum (OR operation) of all these product terms gives the complete representation of the function.
Characteristics of Minterms:
- Minterms are represented by a binary number indicating the state of each variable.
- For example:
- w’.x.y’ = True when w=0, x=1, y=0 (one specific combination).
- w.y = True when w=1, y=1 (another combination).
Conclusion
- By stating that w’.x.y’ and w.y represent the "Sum of Minterms," we acknowledge that these terms define specific scenarios where the output of a logical function is 1.
- This understanding is crucial for designing digital circuits and simplifying Boolean expressions.
In summary, recognizing product terms as part of the Sum of Minterms allows for a clear interpretation of logical relationships in digital systems.
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Each product term of a group, w’.x.y’ and w.y, represents ...
In a minterm, each variable w, x or y appears once either as the variable itself or as the inverse. So, the given expression satisfies the property of Sum of Minterm.
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Each product term of a group, w’.x.y’ and w.y, represents the ____________ in that group.a)Inputb)POSc)Sum-of-Mintermsd)Sum of MaxtermsCorrect answer is option 'C'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Each product term of a group, w’.x.y’ and w.y, represents the ____________ in that group.a)Inputb)POSc)Sum-of-Mintermsd)Sum of MaxtermsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Each product term of a group, w’.x.y’ and w.y, represents the ____________ in that group.a)Inputb)POSc)Sum-of-Mintermsd)Sum of MaxtermsCorrect answer is option 'C'. Can you explain this answer?.
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