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

In summary, the conversation is about a simplified model and the model answer given in red. The person is questioning the accuracy of the model answer and suggests checking it themselves with different inputs. The other person agrees and points out a missing inverter that may affect the output.
  • #1
waver.
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members are warned that removing diagrams from homework threads is against PF rules
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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  • #2
Why don't you check yourself? What is the output if ##A \overline B## (and choose whatever you like for C)?
 
  • #3
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.
 
  • #4
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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What is Boolean algebra?

Boolean algebra is a type of mathematics that deals with logical operations on binary variables. It is used to analyze and simplify logical expressions and is widely used in computer science and electronics.

What is the problem "AB vs. A(comp(B)+c)"?

The problem "AB vs. A(comp(B)+c)" is a comparison between the logical expressions AB and A(comp(B)+c). It involves applying Boolean algebra rules to determine which expression is true or false.

How do you solve this problem?

To solve this problem, we can use the rules of Boolean algebra to simplify the expressions AB and A(comp(B)+c). We can then compare the simplified expressions to determine which one is true.

What are the possible outcomes of this problem?

The possible outcomes of this problem are either true or false. If the simplified expressions are equivalent, then the problem is true. If the simplified expressions are not equivalent, then the problem is false.

What are some real-world applications of Boolean algebra?

Boolean algebra has numerous applications in computer science, such as designing digital logic circuits and writing computer programs. It is also used in database querying, network design, and artificial intelligence.

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