Floating-Point Arithmetic

What is the first step to perform addition of floating point numbers?

• Separate the mantissas.
• Check whether the numbers are normalised.
• Ensure the value is normalised.
• Add the mantissas.

When adding floating point numbers, what is the primary concern regarding exponents?

• They should be kept as they are.
• They should be changed to different values.
• They should be ignored.
• They should match.

How do you handle trailing zeros in the mantissas when adding floating point numbers?

• Ignore them.
• Keep them.
• Change them to ones.
• Double them.

What is the final step in adding floating point numbers?

• Separate the mantissas.
• Check whether the numbers are normalised.
• Ensure the value is normalised.
• Add the exponents.

When subtracting one positive floating point number from another, what value is the second number converted into?

• Decimal value.
• Fraction.
• Two’s complement negative value.
• Positive value.

What step is not required when subtracting floating point numbers?

• Match the exponents

• Find the negative value of the second number.
• Remove the mantissas

• Check whether the numbers are normalised.

When subtracting two floating point numbers using addition, what happens to an additional carry bit?

• Keep it

• Remove it

• This wouldn't happen

• Add the exponents.

What happens in floating point addition if both exponents are different?

• Change one to match the other

• Ignore the exponents.
• Subtract the exponents.
• Add the exponents together.

What does underflow refer to in floating point arithmetic?

• Result is too far from zero.

• Result is too large to be represented.
• Result is too small to be represented.

• Result has too many decimal places.

What can cause overflow when adding two numbers of the same sign?

• Resulting in a zero.
• Resulting in a negative number.
• Resulting in a very small negative number.
• The result being a larger number than either of the two original numbers.