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How many AND and OR gates are required to realise Y = AB + BC + CD?
- a)2,3
- b)2,2
- c)B and D
- d)3,1
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many AND and OR gates are required to realise Y = AB + BC + CD?a)2...
To realise the expression Y = AB + BC + CD, follow these steps to determine the number of AND and OR gates required:
- Each product term (AB, BC, CD) needs an AND gate to combine the variables:
- AB needs 1 AND gate.
- BC needs 1 AND gate.
- CD needs 1 AND gate.
- An OR gate is used to sum the outputs of the AND gates:
- 1 OR gate for combining AB, BC, and CD.
Therefore, you need 3 AND gates and 1 OR gate.
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How many AND and OR gates are required to realise Y = AB + BC + CD?a)2...
Understanding the Expression
The expression given is Y = AB + BC + CD. This is a logical expression involving three product terms (AND operations) and one summation term (OR operation).
Identifying the Gates Required
To implement the expression, we need to analyze the components:
- Product Terms (AND Gates):
- AB requires 1 AND gate
- BC requires 1 AND gate
- CD requires 1 AND gate
Thus, we need a total of 3 AND gates to realize each of these product terms.
- Summation Terms (OR Gates):
- The results of the three AND gates (AB, BC, CD) need to be combined. This requires 1 OR gate.
Summary of Gates Needed
- Total AND Gates: 3 (for AB, BC, and CD)
- Total OR Gates: 1 (to combine the outputs of the AND gates)
Conclusion
The correct answer is option 'D', which states that 3 AND gates and 1 OR gate are required to realize the given expression Y = AB + BC + CD.
This efficient gate configuration allows for the logical combination of the inputs to achieve the desired output effectively.
The expression given is Y = AB + BC + CD. This is a logical expression involving three product terms (AND operations) and one summation term (OR operation).
Identifying the Gates Required
To implement the expression, we need to analyze the components:
- Product Terms (AND Gates):
- AB requires 1 AND gate
- BC requires 1 AND gate
- CD requires 1 AND gate
Thus, we need a total of 3 AND gates to realize each of these product terms.
- Summation Terms (OR Gates):
- The results of the three AND gates (AB, BC, CD) need to be combined. This requires 1 OR gate.
Summary of Gates Needed
- Total AND Gates: 3 (for AB, BC, and CD)
- Total OR Gates: 1 (to combine the outputs of the AND gates)
Conclusion
The correct answer is option 'D', which states that 3 AND gates and 1 OR gate are required to realize the given expression Y = AB + BC + CD.
This efficient gate configuration allows for the logical combination of the inputs to achieve the desired output effectively.
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