Binary/number Systems

Question 1

Convert 10010101 (149) into a negative number using twos compliment

Answer 1

01101011

Question 2

What are natural numbers

Answer 2

Any positive integer

Question 3

What is a rational number

Answer 3

Any number that can be represented by a fraction including negative numbers

Question 4

What is an irrational number

Answer 4

A number that cannot be written as a fraction eg root 2

Question 5

What is an ordinal number

Answer 5

Used to tell their position eg (a,b,c,d)

Question 6

What is a floating point number

Answer 6

A number where the location of the decimal point moves around

Question 7

Why are floating point numbers used

Answer 7

Helps to provide accuracy to precise measurements

Question 8

What is absolute error?

Answer 8

Absolute error is the difference between the measured value and the true value.

Question 9

True or False: Relative error is always expressed as a percentage.

Answer 9

True

Question 10

Fill in the blank: The formula for relative error is __________.

Answer 10

Relative error = (Absolute error / True value) x 100%

Question 11

Which of the following represents the correct relationship between absolute error and relative error? A) Absolute error = Relative error × True value B) Relative error = Absolute error + True value C) Both are the same.

Answer 11

A) Absolute error = Relative error × True value

Question 12

What is the main purpose of calculating relative error?

Answer 12

The main purpose of calculating relative error is to provide a measure of accuracy relative to the size of the measurement.