Solve the following Boolean algebra expression :

A(A' + C)(A'B + C)(A'BC + C')

This question was previously asked in
MPPKVVCL Jabalpur JE Electrical 16 August 2018 Official Paper
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  1. AC
  2. BC
  3. 0
  4. AB

Answer (Detailed Solution Below)

Option 3 : 0
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Detailed Solution

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The correct answer is option 3): 0

Calculation:

Given expression

A(A' + C)(A'B + C)(A'BC + C') = (AA' + AC) (A'B +C) (A'BC + C')

AA' = 0

(AA' + AC) (A'B +C) (A'BC + C') = (AC) (A'B +C) (A'BC + C') 

= ( AA'CB +AC) (A'BC + C')

= (AC) (A'BC + C')

= ( AA'BC + C' AC)

= 0

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