Boolean Algebra Problem: Solution for AB vs. A(comp(B)+c)

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waver.
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https://scontent-mxp1-1.xx.fbcdn.net/v/t35.0-12/13324008_10209600482268675_3779883_o.png?oh=abd4c815b9472f70cfbfbb1923a37b3c&oe=5752F454

Number 12 : I have simplified it and I have got AB but the model answer in red say A(comp(B)+c)
I just want is that answer true or not , thanks in advance
 
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Why don't you check yourself? What is the output if ##A \overline B## (and choose whatever you like for C)?
 
You are right. You can easily see that every input that includes B=0 gives a 0 output, when by the answer in red (A,B,C)=(1,0,0) for example should give 1.
 
To get the textbook's answer, you need to restore a missing inverter so the upper AND gate receives ##\overline B## at its lower input.
 
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