CS2100: Tutorial 1

1.
Whats the significance of this number?
a) Its the upper bound
0x7FFFFFF
The first digit is 7 because of negative number.

b)
0x7FFFFFF

d)
We are using 2 complement.
Why not 1's complement:
Its easier but when we do integer addition and subtraction, the extra one step to add the number is very taxing.

e) Java (If it exceeds, it becomes negative)

2.

a) Sign bit: 1
    Expo: 11 bit
    Mantissa: 52 bit
b) 1019 (Excess 1023)
1019 - 1023  = -4
// The representation us 0x3FB9999999999999A
It is A due to the rounding off:
1001 1 => 1010

c)
0.1 because we will get closer and closer as we convert but we will never reach 0.1
This is very problematic if it is in number important jobs like bank transaction.

e) Use the loop to add up all the inaccuracy

We cant represent -8 in 4 bits for one complement