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Q. Show the r’s Complement?
Step1- get the (r-1)'s complement
Step 2- add 1 to the result ex.
93510
9 9 9
9 3 5 -
0 6 4 (r-1)'s complement
0 6 4
1 +
0 6 5
395 - 210
210 is 789 + 1 = 790 in 10's complement form
395
790+
185
Why Use 2's Complement
1 for negative
0 for positive
+0 0000 0000
-0 0000 0000 (how?)
Let's now consider the subtraction 22 - 35, again both represented as 7-bit numbers with a sign bit.
+22 in binary is: 00010110 +35 in binary is: 00100011 -35 in binary is: 10100011 -35 in 1's complement is: 11011100
The sum to be calculated is now:
00010110 + 11011100 11110010
This time the addition does not produce a 9th bit, but the sign bit is 1. In this case it again tells us two things:
So to get the final answer we need to turn our answer into binary. If the 1's complement notation is 11110010 then the binary representation is 10001101 (note - the sign bit doesn't change, it's still a negative number!). This is the binary for -13, again, the correct answer.
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