Question 10102 –

Following floating point number format is given
f is a fraction represented by a 6-bit mantissa (includes sign bit) in sign magnitude form e is a 4-bit exponent (includes sign hit) in sign magnitude form n = (f,e) = f, 2^e is a floating point number.
Let A = 54.75 in decimal and
B = 9.75 in decimal.

(a) Represent A and B as floating point numbers in the above format.
(b) Show the steps involved in floating point addition of A and B.
(c) What is the percentage error (upto one position beyond decimal point) in the addition operation in (b)?

Correct Answer: A