Computer Science Illuminated
Computer Science Illuminated
7th Edition
ISBN: 9781284155617
Author: Nell Dale, John Lewis
Publisher: Jones & Bartlett Learning
Question
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Chapter 2, Problem 22E
Program Plan Intro

a.

Polynomial:

  • Polynomial is actually an algebraic expression with one or more variables and is increased by a co-efficient value.
  • Poly means many and nominal means terms. Hence polynomial means many terms.
  • To find out the corresponding decimal values, the positional notation of a polynomial expression can be used.
  • The polynomial formula or the positional notation of a polynomial expression is as given below:

d n * R n-1 + d n-1 * R n-2+ . . . + d2 * R + d1

  • From the above equation,
    • “d” represents digit in the ith position of a number.
    • “R” represents base of a number.
    • “n” represents number of digits.

Explanation of Solution

b.

Polynomial expression for number 891 in base 8:

  • Base 8 has 8 digits from 0 to 7.
  • As “9” in the numbe...

Explanation of Solution

c.

Polynomial expression for number 891 in base 12:

  • The polynomial expression for the number 891 in base 12 is:

  8*122 + 9*121 + 1*120

  • As the power is from 0 to 2, n is 3 and r is 12...

Explanation of Solution

d.

Polynomial expression for number 891 in base 13:

  • The polynomial expression for the number 891 to the base 13 is:

  8*132+9*131+1*130

  • As the power is from 0 to 2, n = 3 and r = 13...

Explanation of Solution

e.

Polynomial expression for number 891 in base 16:

  • The polynomial expression for the number 891 to the base 16 is:

  8*162+9*161+1*160

  • As the power is from 0 to 2, hence n = 3 and r = 16...

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