# Hw06 - CS 70 Spring 2005 Discrete Mathematics for CS Clancy/Wagner HW 6 Due Thursday March 10 Coverage This assignment involves topics from the

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CS 70 Discrete Mathematics for CS Spring 2005 Clancy/Wagner HW 6 Due Thursday, March 10 Coverage: This assignment involves topics from the lectures of February 22 and 24 and March 1, and from Rosen sections 2.2, 2.4, 2.5, and pages 181-185 in section 2.6. Administrative reminders: We will accept only unformatted text files or PDF files for homework sub- mission. Include your name, login name, section number, and partner list in your submission. Give the command submit hw6 to submit your answers to this assignment. Also: It is time to switch partners! Homework exercises: 1. (14 pts.) Radix –2 Radix - 2 representation is analogous to radix 2 (binary) representation. An integer n is represented as d k d k - 1 ··· d 1 d 0 if n = d k ( - 2 ) k + d k - 1 ( - 2 ) k - 1 + ... d 1 ( - 2 ) 1 + d 0 ( - 2 ) 0 and all the d j are 0 or 1. (a) What’s the radix - 2 representation of 9? (b) Prove that every integer n > 0 can be represented in radix - 2. (c) Is the representation unique? That is, can every integer n > 0 be represented in exactly one way in radix - 2? Prove the claim, or display a counterexample. 2. (14 pts.)

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## This note was uploaded on 09/03/2011 for the course CS 70 taught by Professor Papadimitrou during the Fall '08 term at University of California, Berkeley.

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Hw06 - CS 70 Spring 2005 Discrete Mathematics for CS Clancy/Wagner HW 6 Due Thursday March 10 Coverage This assignment involves topics from the

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