# COE202lesson4 - Complement Representation Positive numbers...

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Complement Representation Positive numbers (+N) are represented in exactly the same way as in signed magnitude system Negative numbers (- N) are represented by the complement of N (N’) Define the Complemen t N’ of some number N as: N’ = M -N where, M = Some Constant Applying a negative sign to a number (NÆ -N) is equivalent to Complementing that number (N Æ N’) Thus, given the representation of some number N, the representation of N is equivalent to the representation of the complement N’. Important Property: The Complement of the Complement of some number N is the original number N. N’ =M -N ( N’ )’ = M - (M-N) = N This is a required property to match the negation process since a number negated twice must yield the original number {- (-N) = N} Why Use the Complement Method ? Through the proper choice of the constant M, the complement operation can be fairly simple and quite fast. A simple complement process allows: i. Simplified arithmetic operations since. subtraction can be totally replaced by addition and complementing.

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• Fall '13
• Sait
• Binary numeral system, Bitwise operation, Method of complements

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