Floating points

Question 1

What is the mantissa component of the floating point representation?

Answer 1

It is a fixed point binary number in two’s complement form with the first digit always at -1

Question 2

What is the exponent component of the floating point representation?

Answer 2

It is a two’s complement integer binary number (largest number is negative)

Question 3

Converting from floating point to denary (non calc)?

Answer 3

Work out the exponent first (the two’s complement integer), then move the binary point between the mantissa. Left if exponent < 0, right if it is opposite.

Question 4

What is the second method for converting floating point to denary (calc)?

Answer 4

Equation x = m x 2 ^2 (m = mantissa and e = exponent)