Floating Point Addition & Subtraction Quiz

What are the three components of a floating point number?

• Sign, Mantissa, Base

• Mantissa, Base, Exponent

• Sign, Base, Exponent

• Sign, Mantissa, Exponent

What must be ensured before performing arithmetic on floating point numbers?

• The numbers have the same mantissa

• The numbers have the same exponent

• The numbers have the same base

• The numbers have the same sign

What is the first step in adding or subtracting floating point numbers?

• Perform binary addition or subtraction

• Normalize the result

• Align the exponents

• Determine the sign

What happens if the sum exceeds the normal range for mantissa?

• Shift the mantissa right and decrement the exponent

• Shift the mantissa left and increment the exponent

• Shift the mantissa right and increment the exponent

• Shift the mantissa left and decrement the exponent

What is the result of normalizing the sum 10.010 in binary?

• 0.1001 with exponent incremented by 1

• 0.1001 with exponent decremented by 1

• 1.0010 with exponent decremented by 1

• 1.0010 with exponent incremented by 1

What is the purpose of normalizing a floating point number?

• To ensure the sign is positive

• To ensure the exponent is zero

• To ensure the base is binary

• To ensure the mantissa is within a specific range

What is the correct order of steps for floating point subtraction?

• Align exponents, subtract mantissas, normalize

• Subtract mantissas, align exponents, normalize

• Align exponents, normalize, subtract mantissas

• Normalize, align exponents, subtract mantissas

What is the result of shifting the mantissa one position to the right?

• The sign is changed

• The base is changed

• The exponent is incremented by 1

• The exponent is decremented by 1