Floating point Binary Quiz

Which part of a floating-point binary number represents the sign?

• Exponent

• Mantissa

• Both exponent and mantissa

• Neither exponent nor mantissa

What is the purpose of using floating-point binary representation for real numbers in computer systems?

• To precisely represent all real numbers

• To approximate real numbers within a limited range and precision

• To perform integer arithmetic more efficiently

• To reduce memory usage

What is the primary advantage of using floating-point binary representation over fixed-point representation?

• Greater precision

• Simplicity in implementation

• Reduced memory usage

• Faster arithmetic operations

How does the precision of a floating-point binary number relate to the number of bits allocated for its mantissa?

• The precision is inversely proportional to the number of bits in the mantissa.

• The precision is directly proportional to the number of bits in the mantissa.

• The precision is determined solely by the exponent field.

• The precision is unrelated to the representation of the mantissa.

What is the purpose of the mantissa in a floating-point binary representation?

• It represents the sign of the number.

• It determines the position of the decimal point.

• It stores the significant digits of the number.

• It indicates whether the number is positive or negative.

Which arithmetic operation is generally more susceptible to loss of precision in floating-point binary representation?

• Addition

• Subtraction

• Multiplication

• Division

Which factor primarily determines the precision of a floating-point binary number?

• The number of bits allocated for the exponent.

• The number of bits allocated for the mantissa.

• The value of the exponent bias.

• The sign bit of the number.

How does the representation of very large numbers differ from the representation of normal floating-point binary numbers?

• They use a larger exponent.

• They use a smaller mantissa.

• They use a larger mantissa.

• They use a different sign bit.

How does the representation of a negative floating-point binary number differ from that of a positive one?

• The sign bit is inverted.

• The mantissa is inverted.

• The exponent is negated.

• There is no difference in representation, only in interpretation.