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Solve the following Boolean expression:
Select the correct option.
Select the correct option.
- a)0
- b)A + B
- c)A̅ + BC
- d)1
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Solve the following Boolean expression:Select the correct option.a)0b)...
Given Y = A (A̅ + C) (A̅B + C) (A̅BC + C̅)
This can be written as:
Y = (A.A̅ + AC) (A̅B + C) (A̅BC + C̅)
Since A.A̅ = 0, the above expression can be written as:
Y = (AC) (A̅B + C) (A̅BC + C̅)
Y = (AC.A̅B + AC.C) (A̅BC + C̅)
With C.C = C, we can write:
Y = (AC) (A̅BC + C̅)
Y = AC.A̅BC + AC.C̅
Y = 0 + 0
Y = 0
This can be written as:
Y = (A.A̅ + AC) (A̅B + C) (A̅BC + C̅)
Since A.A̅ = 0, the above expression can be written as:
Y = (AC) (A̅B + C) (A̅BC + C̅)
Y = (AC.A̅B + AC.C) (A̅BC + C̅)
With C.C = C, we can write:
Y = (AC) (A̅BC + C̅)
Y = AC.A̅BC + AC.C̅
Y = 0 + 0
Y = 0
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Solve the following Boolean expression:Select the correct option.a)0b)A + Bc)A + BCd)1Correct answer is option 'A'. Can you explain this answer?
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