Answer to Question #128926 in Discrete Mathematics for usama

Question

Q1 Find the floor and ceiling Function of x and . Take any value of x and y. (5)

X Floor Ceiling
-X.Y (x point y)
X / Y (x divided by y)

Answer 1

Solution :

The floor and ceiling functions give us the nearest integer up or down.

Suppose x= 2

The Floor of 2 is 2

The Ceiling of 2 is 2

Suppose x= 2.31

The Floor of 2.31 is 2

The Ceiling of 2.31 is 3

what is frac(3.65)?

frac(x) = x − floor(x)

Suppose we find frac(3.65)

frac(x) = x − floor(x)

So: frac(3.65) = 3.65 − floor(3.65) = 3.65 − 3

= 0.65