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Simplify the given Boolean expression
A+AB'+AB'C'+AB'C'D'+AB'C'D'E'+…………………
- a)AB
- b)A
- c)B
- d)C'
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Simplify the given Boolean expressionA+AB'+AB'C'+AB'C'D'+AB'C'D'E'+……...
We have A (1 + B'+B'C'+B'C'D'+B'C'D'E'+…………………)
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We know A + 1 = 1 (Rule)
Now A.1 = A
Most Upvoted Answer
Simplify the given Boolean expressionA+AB'+AB'C'+AB'C'D'+AB'C'D'E'+……...
Simplifying the Boolean expression A AB' AB'C' AB'C'D' AB'C'D'E'
Step 1: Distribute A over AB' to get AB' + AAB'
Step 2: Distribute AB' over AB'C' to get AB'C' + AAB'C'
Step 3: Distribute AB'C' over AB'C'D' to get AB'C'D' + AAB'C'D'
Step 4: Distribute AB'C'D' over AB'C'D'E' to get AB'C'D'E' + AAB'C'D'E'
Step 5: Simplify the expression by combining like terms
- The term AB' + AAB' can be simplified as AB'
- The term AB'C' + AAB'C' can be simplified as AB'C'
- The term AB'C'D' + AAB'C'D' can be simplified as AB'C'D'
- The term AB'C'D'E' + AAB'C'D'E' can be simplified as AB'C'D'E'
Final Simplified Boolean Expression: AB' + AB'C' + AB'C'D' + AB'C'D'E'
This expression represents the simplified version of the given Boolean expression. It is obtained by distributing the variables and then combining like terms. The resulting expression is simplified to its most compact form.
Step 1: Distribute A over AB' to get AB' + AAB'
Step 2: Distribute AB' over AB'C' to get AB'C' + AAB'C'
Step 3: Distribute AB'C' over AB'C'D' to get AB'C'D' + AAB'C'D'
Step 4: Distribute AB'C'D' over AB'C'D'E' to get AB'C'D'E' + AAB'C'D'E'
Step 5: Simplify the expression by combining like terms
- The term AB' + AAB' can be simplified as AB'
- The term AB'C' + AAB'C' can be simplified as AB'C'
- The term AB'C'D' + AAB'C'D' can be simplified as AB'C'D'
- The term AB'C'D'E' + AAB'C'D'E' can be simplified as AB'C'D'E'
Final Simplified Boolean Expression: AB' + AB'C' + AB'C'D' + AB'C'D'E'
This expression represents the simplified version of the given Boolean expression. It is obtained by distributing the variables and then combining like terms. The resulting expression is simplified to its most compact form.
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Simplify the given Boolean expressionA+AB'+AB'C'+AB'C'D'+AB'C'D'E'+…………………a)ABb)Ac)Bd)C'Correct answer is option 'B'. Can you explain this answer?
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