Convert the function to disjunctive normal

Reference no: EM13937712

Given that there are 100 elements in A1, 1000 in A2, and 10, 000 in A3, find the number of elements in A1 ∪ A2 ∪ A3 in each of the cases below.

(a) A1 ⊆ A2 and A2 ⊆ A3

(b) the sets are pairwise disjoint Draw, and use, relevant Venn diagrams in each case.

2. Consider the non negative integer solutions for the equation x1 + x2 + x3 + x4 + x5 = 40.

(a) How many distinct solutions are there?

(b) How many distinct solutions are there if x1 ≥ 10 ?

(d) How many distinct solutions are there if x1 < 20 and x2 < 5 ? 3.

(a) Make a table of values for the function f(x, y, z) = xy + yz + (x + y)z and use it to convert the function to disjunctive normal form (a sum of products).

(b) Use the laws for boolean algebras to convert g(x, y, z) = x(y + z) + (xy) (x + z) into disjunctive normal form

Reference no: EM13937712

Questions Cloud

Laws for boolean algebras to convert : Given that there are 100 elements in A1, 1000 in A2, and 10, 000 in A3, find the number of elements in A1 ∪ A2 ∪ A3 in each of the cases below.

Function that accepts a score for a driver''s license : Write a function that accepts a score for a driver's license facility, an int or a float, and returns a letter. If the score passed in is less than 75, then the letter returned is an F for Fail. Otherwise, the letter returned is a P for Pass.

Natural convection from a horizontal heated surface : Consider natural convection from a horizontal heated surface. Use Buckingham Pi Theorem to determine which dimensionless number you would used to investigate this phenomenon.

Explain why the price increased in china in 2009 : The price of garlic in China increased forty-fold between March and November 2009. Due to low prices in the previous year, the amount of land set aside for growing garlic in 2009 have been halved in Chinea. As well there been rumours that garlic c..

Convert the function to disjunctive normal : Given that there are 100 elements in A1, 1000 in A2, and 10, 000 in A3, find the number of elements in A1 ∪ A2 ∪ A3 in each of the cases below.

Convert the following infix expressions to postfix : Convert the following infix expressions to postfix

Calculate the density of an irregularly shaped rock : Write an explanation to someone who does not know how to make proper measurements on how to measure the following line with the ruler.

What is the dividend rate on preferred stock : What is the par value of the preferred stock? If the total annual dividend on preferred stock is $25,200, what is the dividend rate on preferred stock? How many shares of common stock are outstanding?

Non negative integer solutions for the equation : Given that there are 100 elements in A1, 1000 in A2, and 10,000 in A3, ?nd the number of elements in A1 ∪A2 ∪A3 in each of the cases below. (a) A1 ⊆ A2 and A2 ⊆ A3 (b) the sets are pairwise disjoint Draw, and use, relevant Venn diagrams in each cas..

User Account

All Pages