13.3 Floating-point Numbers, Representation... Cambridge iA 9618

What is the general format of a floating-point binary number?

• Sign bit, exponent, mantissa

• Sign bit, mantissa, base

• Base, exponent, mantissa

• Exponent, mantissa, decimal point

Which numerical system is commonly used for floating-point representation?

• Two’s complement

• One’s complement

• Sign-magnitude

• ASCII

What is the purpose of the exponent in a floating-point number?

• It determines the position of the binary point.

• It represents the sign of the number.

• It stores the significant digits.

• It controls the precision of the number.

Which part of a floating-point number determines its precision?

• Mantissa

• Exponent

• Sign bit

• Base

What happens when you increase the number of bits allocated to the exponent?

• The range of representable numbers increases.

• The precision of the number increases.

• The representation becomes more accurate.

• The number becomes negative.

What happens when you increase the number of bits allocated to the mantissa?

• The precision of the number increases.

• The range of numbers that can be represented increases.

• The number becomes larger.

• The exponent value increases.

Which of the following statements about normalisation is true?

• It ensures that floating-point numbers have a unique representation.

• It makes numbers larger.

• It decreases precision.

• It eliminates the need for an exponent.

Why is normalisation used in floating-point representation?

• To maximise precision by adjusting the mantissa and exponent.

• To make the exponent zero.

• To convert the number to an integer.

• To increase the size of the mantissa.

Which of the following is a valid reason for using normalisation?

• To ensure the mantissa starts with a 1 (in two’s complement form).

• To make the exponent the smallest possible value.

• To reduce storage requirements.

• To convert floating-point numbers to integers.

How is a binary floating-point number converted to denary?

• By multiplying the mantissa by 2 raised to the power of the exponent.

• By converting the mantissa and exponent separately to denary.

• By shifting the mantissa left by the exponent value.

• By adding the exponent and mantissa together.