Understanding Normalised Floating Point Binary

What is the binary representation of the decimal number 5?

• 101

• 110

• 111

• 100

Which of the following best describes floating point precision?

• The exact representation of all real numbers

• The ability to represent very large or very small numbers approximately

• The representation of integers only

• The representation of numbers without any error

What is the purpose of normalisation in floating point representation?

• To increase the size of the exponent

• To ensure the significand is within a certain range

• To decrease the size of the significand

• To convert binary numbers to decimal

In a normalised floating point number, what is the typical range for the significand?

• 0 to 1

• 1 to 2

• 2 to 3

• 3 to 4

What is the binary representation of the decimal number 0.75?

• 0.11

• 0.101

• 0.111

• 0.01

Which part of a floating point number determines its magnitude?

• The base

• The exponent

• The significand

• The sign bit

What is the role of the significand in a floating point number?

• It determines the sign of the number

• It represents the precision of the number

• It determines the base of the number

• It represents the magnitude of the number

How is the sign of a floating point number typically represented?

• By the first bit of the significand

• By the last bit of the exponent

• By a separate sign bit

• By the base of the number

What is the binary representation of the decimal number 2.5 in normalised form?

Which of the following is a limitation of floating point representation?

• It can only represent integers

• It cannot represent negative numbers

• It can introduce rounding errors

• It can only represent numbers in binary