Distinct values represented with boolean-valued signals

  • Thread starter LongApple
  • Start date
  • Tags
    Signals
In summary, the conversation revolves around the concepts of boolean-valued functions and signals. The participants are discussing the number of possible arrangements and outcomes for these functions and signals. One of the participants provides a link for further information and offers their own understanding of the matter. The conversation ends with a question asking for examples of distinct boolean-valued functions and two boolean-valued signals.
  • #1
LongApple
68
0

Homework Statement


upload_2015-1-28_22-3-27.png


Homework Equations

The Attempt at a Solution


[/B]
I'm trying to parse what the second and fourth questions are asking.
https://en.wikipedia.org/wiki/Boolean-valued_function
I clicked on "preciate" and "proposition" in the wikipedia link and got lost

As a starter, what is an example of a "distinct boolean-valued functions"

and one example of a "two boolean-valued signals" ?
 
Physics news on Phys.org
  • #3
I have a different take than the post on stackexchange, which might or might not be correct. For a boolean-valued function of two boolean signals (second question) there are four distinct arrangements of the two arguments:
f(T, T)
f(T, F)
f(F, T)
f(F, F)
Each of these could result in a function value of either T or F, making a total of 8 different possibilities. For the fourth question, using a similar analysis, I get 16 different possibilities.
 

Related to Distinct values represented with boolean-valued signals

1. What are boolean-valued signals?

Boolean-valued signals are signals that can only take on two values: true or false. This type of signal is commonly used in digital electronics and computer systems.

2. How are boolean-valued signals used to represent distinct values?

Boolean-valued signals can be used to represent distinct values by assigning different combinations of true and false to each value. For example, in a binary system, true can represent a value of 1 and false can represent a value of 0.

3. Can boolean-valued signals be used to represent non-binary values?

Yes, boolean-valued signals can be used to represent non-binary values by using multiple signals to represent different values. For example, in a ternary system, three signals can be used to represent values of 0, 1, and 2.

4. Are boolean-valued signals the same as logical values?

Yes, boolean-valued signals can also be referred to as logical values because they follow the same logic and principles as Boolean algebra.

5. What are the advantages of using boolean-valued signals to represent distinct values?

Boolean-valued signals are advantageous because they are easy to manipulate and operate on using logical operations. They also require minimal storage space and can be easily converted to other types of signals, making them versatile for use in various systems and applications.

Similar threads

Replies
14
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
8
Views
1K
  • Engineering and Comp Sci Homework Help
Replies
2
Views
885
  • Programming and Computer Science
Replies
6
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
11
Views
577
  • Engineering and Comp Sci Homework Help
Replies
2
Views
3K
  • Quantum Physics
Replies
3
Views
661
  • Set Theory, Logic, Probability, Statistics
Replies
21
Views
2K
  • Electrical Engineering
Replies
1
Views
1K
  • Sticky
  • General Discussion
Replies
0
Views
157
Back
Top