Discrete Mathematics Answers

Let x be 5, x+y=10.

1. Read and follow instructions.

When A = 1, B = 0, C = 1. Then:

F = C + C'B + BA' = 1

given that: P(n): n! > 3n for n ≥ 7. What is the Base Step?

Use the Euclidean algorithm to find gcd(2074, 2457) = d.

Use Karnaugh map to find a minimal sum for: 

E = x’yz + x’yz’t + y’zt + xyzt’ + xy’z’t

Find  and  if for every positive integer ,

a)   Ai={0,i}           b)  Ai=[-i,i].

For each of the arguments below, determine whether the argument is correct or incorrect and explain why.

a)     All students in this class understand logic. Xavier is a student in this class. Therefore, Xavier understands logic.

b)    Every computer science major takes discrete mathematics. Natasha is taking discrete mathematics. Therefore, Natasha is a computer science major.

c)     Everyone who eats granola every day is healthy. Linda is not healthy. Therefore, Linda does not eat granola every day.

Write a simple formula that generates the below mentioned terms.

a)  1,2,2,3,4,4,5,6,6,7,8,8,...

b)   1,10,11,100,101,110,111,1000,1001,1010,1011

Write a simple formula that generates the below mentioned terms.

a)  1,2,2,3,4,4,5,6,6,7,8,8,...

b)  1,10,11, 100, 101, 110,111,1000,1001,1010,1011