Unformatted text preview: numbers. Given an ndigit system with base 8, deFne the eight’s complement representation. Show the arithmetic of xy where x = 11 8 and y = 15 8 with a 5digit system in eigth’s complement representation. 10. Prove that 1 1 × 3 + 1 3 × 5 + ... + 1 (2 n1)(2 n +1) = n 2 n +1 11. Given three integers x, y, d, prove that ( x + y )% d = ( x % d + y % d )% d , where % is a modulus operation. 12. Given three integers x, y, d, prove that ( xy )% d = ( x % dy % d )% d , where % is a modulus operation. 13. Given three integers x, y, d, prove that ( x % d × y % d )% d = ( x × y )% d , where % is a modulus operation. 1...
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This note was uploaded on 06/12/2011 for the course CS 1 taught by Professor Staff during the Fall '08 term at Cornell.
 Fall '08
 STAFF

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