The number 0.60 is rational and can be represented in finitely many digits in decimal  a. can it be represented by finetly many bits in binary? explain why or why not. b. if it can be done in finitely many bits, give its exact binary representation. if not, give the first ten bits of the approxijmate representation. c. give an upper bound on absolute error in this representation.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 12E: Suppose that the check digit is computed as described in Example . Prove that transposition errors...
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The number 0.60 is rational and can be represented in finitely many digits in decimal 

a. can it be represented by finetly many bits in binary? explain why or why not.

b. if it can be done in finitely many bits, give its exact binary representation. if not, give the first ten bits of the approxijmate representation.

c. give an upper bound on absolute error in this representation. 

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