It’s language independt, just perform the addition.
Practice. Consider the following two single precision bit patterns 1 011 11 110 1000 100 00000000000001 00 1 100 000 11 11 11 110 0000000000000010 Perform binary addition of these 2 numbers following the algorithm for floating point addition given on Slides E20 & 21. Show all steps in your calculation
so both are -ve numbers
sum also will be a -ve number
first convert single precision numbers to deciamla numbers
1 01111110 1000100000000000000010
s1=1
exponent is biased here
01111110 equal to 126
bias is 127
now our exponent will be -1 ( exponent -bias)
mantissa when converted to binary( process is m1*2^-1+m2*2^-2………m23*2^-23) ,it is equal to 1.5312504
to convert all these into decimal format ,the formul is
-1^s m*2^exponent
now our first decimal number is -0.7656252
second number is 1 10000011 111111000000000000000000010
sign -1 (-ve)
10000011 means 131
real exponent is (131-127) 4
mantissa calculated with above formula -31.750003814
now we will calculate with algorithm
e1=-1
e2=4
e1-e2=5
shift smaller number(1st number through 5 places)
M1 will be00000100010000000000000000000
now addd m1&m2
sum will be
1 0000000001000000000000010
one 1 is excess here now
increment exponent 10000100
now conver it into decimal
1 10000100 0000000010000000000010
now convert it into decimal
32.0315235
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