Turn the following into the appropriate string of 1s and 0s by drawing the appropriate ternary tree:   32 63 97

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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  1. For the following use the method of "primitive counting" described in class:

     

    1. Turn the following into the appropriate string of 1s and 0s by drawing the appropriate ternary tree:

       

      1. 32
      2. 63
      3. 97

       

    2. Turn the following strings of 1s and 0s into the appropriate number of sheep, drawing the ternary tree is desired:

       

      1. 1,0,1,0,1,0
      2. 1,0,1,0,1,0,1
      3. 1,0,1,1,0,0,0,1
Expert Solution
Step 1

Primitive Counting

  • There are many assumptions regarding the nature of counting of primitive people.
  • That is before the formulation of number systems, how people have counted and addressed each other about the amount/ quantities of things.
  • Here our question is based on one f such assumptions:
    • Here if we have given a N number of objects. We divide it equally and track the remainder, it will be either zero or one.
    • We continue this process until acquiring a 1,1 pair, that is when the further division is not possible.
    • We use a tree representation to illustrate this method.
  • Here we can note that after combining these remainders at each step we will acquire some 1's and 0's which will be equivalent to the binary representation of the given decimal number.

 

 

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