Solved: Boolean Algebra Rules Homework

In summary, the conversation discusses a problem with simplifying a part of a boolean equation, specifically Y(NX'Z+NX'+NZ'). The attempt at a solution involves using rules of simplification, such as A+A=A, A+A'=1, and AxA=1. The proposed simplified form is Y(NX') and it is suggested to check with a truth table.
  • #1
TheTopGun
16
0

Homework Statement


Ok so I'm having trouble simplifying a part of a boolean equation. It needs to be in the form Yt(...)


Homework Equations


note X' means Not X

The part to be simplified is.. Y(NX'Z+NX'+NZ')

The Attempt at a Solution


Using the rules of simplification, particularly A+A=A, A+A'=1, AxA=1
Ive come down to this but I am still unsure if I am on the right track..

Y(NX'Z+NX'+NZ') ... so N + N + N = N, X' + X' = X', Z + Z' = 1
Y(NX'(1))
Y(NX')

Could someone confirm this, or tell me I am completely wrong :uhh:

Thankyou!
 
Physics news on Phys.org
  • #2
TheTopGun said:
Using the rules of simplification, particularly A+A=A, A+A'=1, AxA=1 :confused:



Y(NX'Z+NX'+NZ') ... so N + N + N = N, X' + X' = X', Z + Z' = 1
Y(NX'(1))
Y(NX')
Skip the common term N, you could draw up a truth table for the Z and X parts and see whether your answer checks out.

What does X' Z + X' simplify to?
 

1. What is Boolean algebra?

Boolean algebra is a mathematical system that deals with binary variables and logical operations. It is named after mathematician George Boole and is used to simplify and analyze logical expressions.

2. What are the basic rules of Boolean algebra?

The basic rules of Boolean algebra include the commutative law, associative law, distributive law, identity law, and complement law. These rules govern how logical operators (AND, OR, NOT) can be used to manipulate logical expressions.

3. How do I use Boolean algebra to solve problems?

To solve problems using Boolean algebra, you need to first represent the given information or logical statement in terms of binary variables and logical operators. Then, you can use the basic rules of Boolean algebra to manipulate the expression and arrive at a simplified solution.

4. Can Boolean algebra be applied to real-world problems?

Yes, Boolean algebra can be applied to real-world problems such as circuit design, computer programming, and database search queries. It helps in simplifying complex logical expressions and determining the conditions for a statement to be true or false.

5. Are there any limitations to using Boolean algebra?

Yes, there are limitations to using Boolean algebra as it is a simplified system that only deals with binary variables and logical operations. It cannot handle probabilistic or continuous data and cannot represent the concept of partial truth.

Similar threads

  • Programming and Computer Science
Replies
4
Views
589
  • Engineering and Comp Sci Homework Help
Replies
5
Views
5K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
  • Calculus and Beyond Homework Help
Replies
6
Views
746
  • Engineering and Comp Sci Homework Help
Replies
6
Views
2K
  • Engineering and Comp Sci Homework Help
Replies
4
Views
6K
  • Engineering and Comp Sci Homework Help
Replies
5
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
6
Views
16K
Replies
1
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
Back
Top