Understanding Floating Point Representation

What is the main reason for using floating point representation in computers?

• To store large integers

• To represent real numbers with fractional parts

• To save memory space

• To increase processing speed

Which of the following best describes floating point precision?

• The ability to store integers accurately

• The number of significant digits with which a value is expressed

• The speed at which floating point operations are performed

• The size of the floating point number

What is normalisation in floating point representation?

• Adjusting the exponent to fit the number into a standard form

• Converting a number to binary form

• Rounding a number to the nearest integer

• Increasing the precision of a number

In IEEE 754 standard, what is the purpose of the exponent in a floating point number?

• To determine the sign of the number

• To represent the magnitude of the number

• To normalise the number

• To indicate the precision of the number

How is the mantissa used in floating point representation?

• It determines the sign of the number

• It stores the significant digits of the number

• It adjusts the scale of the number

• It indicates the precision of the number

What is the range of numbers that can be represented by a single precision floating point in IEEE 754?

What is the main advantage of normalising a floating point number?

• It increases the speed of arithmetic operations

• It maximises the precision of the number

• It reduces the memory required to store the number

• It simplifies the conversion to binary

Which of the following is a common issue when performing arithmetic operations with floating point numbers?

• Integer overflow

• Loss of significance

• Memory leakage

• Buffer overflow

In floating point arithmetic, what is meant by "underflow"?

• When a number is too large to be represented

• When a number is too small to be represented

• When a number is rounded to zero

• When a number is divided by zero

What is the purpose of the sign bit in a floating point number?

• To store the significant digits of the number

• To adjust the scale of the number

• To determine the sign of the number

• To indicate the precision of the number