Related questions 3 votes. Pooja Palod asked in Digital Logic Oct 7, Payal Rastogi asked in Digital Logic Dec 26, The number of possible boolean functions that can be defined for n boolean variables over n valued boolean algebra is.
A CPU scheduling algorithm determines an order for the execution of its scheduled processes. Given n processes to be scheduled on one processor , how many possible different schedules are there? Subjects All categories General Aptitude 2. Follow gateoverflow.
GATE Overflow. Recent Blog Comments But yarunsharma Even after getting very good Boolean Functions Expressions : It is useful to know how many different Boolean functions can be constructed on a set of Boolean variables.
Recall, a function maps each input value of a variable to one and only one output value. The False p function maps each value of p to 0 False. The identity p function maps each value of p to the identical value. The flip p function maps False to True and True to False. The True p function maps each value of p to 1 True. This information can be collected into a table Input variable Functions possible p False p -p True 0 0 0 1 1 1 0 1 0 1 For two variables: p and q, 16 Boolean functions can be constructed.
Boolean Functions of n Variables: Number of variables Number of boolean functions. Get Started for Free Download App. More Boolean Functions Questions Q1. Now, you start by placing all possible functions into one group. You have no more tests to apply. You, therefore, consider all functions in the resulting subgroups identical. Isn't it beatiful? I am sure that all functions are realizable there is a notion of functional completness , and, thus are semantically correct if that is what you mean.
This is a classic problem in circuit theory. One of the difficulties in getting started is deciding how you'll define "semantically equivalent"; then you'll get pretty deep into group theory before you'd be able to describe your answer accurately in a few paragraphs on e. The number of such families is easily computed, as illustrated by Slepian [l]. The next step is to discover the invariants of the logic families, and determine to what extent they characterize the individual families.
Given the class decomposition, one also wishes to select a "representative assembly", with one delegate from each family. That is, canonical forms for the logics are sought, with every family having its characteristic canonical form Sign up to join this community.
The best answers are voted up and rise to the top. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. Ask Question. Asked 8 years, 1 month ago. Active 17 days ago. Viewed 67k times. So, my question for you is - is this question possible given the limited information available?
Any direction here would be greatly appreciated. Zack Newsham Zack Newsham 1 1 gold badge 4 4 silver badges 8 8 bronze badges. How about this: How many different possible functions are there if you have zero variables? Think of the possibilities. How many different possible functions are there if you have one variable? Now how many are there when you have two variables? Now add up all of the possibilities. Does this help? For instance, you may have covered truth tables.
The main reason I'm wondering is because of how we , together, can construct Boolean functions.
0コメント