GATE | GATE CS 1997 | Question 71

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)?


Answer:

Explanation:

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