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The nines' complement of a decimal digit is the number that must be added to it to produce 9; the nines' complement of 3 is 6, the nines' complement of 7 is 2, and so on, see table. To form the nines' complement of a larger number, each digit is replaced by its nines' complement. Consider the following subtraction problem:
The 9's complement of any one-digit decimal number d is 9-d. So the 9's complement of 4 is 5 and the 9's complement of 9 is 0. Similarly, the 11's complement of 3 is 8. In a decimal machine with n dials the 9's complement of a number A is: = and therefore the 9's complement of (A-B) is:
I don't think "nines' complement" is correct. The system works by finding the complement of each digit with respect to a value of nine, and there need not be multiple nines involved. The nine's complement of 3, for instance, is 6. It works similarly to two's complement, which works by finding each digit's complement with respect to the value 2 ...
"Two's complement is the most common method of representing signed (positive, negative, and zero) integers on computers, and more generally, fixed point binary values. Two's complement uses the binary digit with the greatest place value (ie the most significant bit) as the sign to indicate
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Retrieved from "https://en.wikipedia.org/w/index.php?title=Nines_complement&oldid=238439352"This page was last edited on 14 September 2008, at 21:14
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