Chapter 2, Problem 21E

Program Plan Intro

a.

Rules for finding the number of 1s in a number:

• The below rules must be followed for finding out the number of 1s in a number.
  • Convert the given number into its corresponding decimal value.
  • Mark the position of the number.
    • This position represents numbers of 1s, 10s, 100s and so on.
    • From right to left, the last position represents the number of 1s in a number; the next position represents the number of 10s in a number. Similarly, it represents the position and their occurrences’ consecutively.

Explanation of Solution

b.

Conversion of 891 into base 8:

• Generally there are 8 digits from 0 to 7...

Explanation of Solution

c.

Conversion of 891 into base 12:

• is a base 12 number.
• Convert the number 891 to base 10 and then process it from right to left.
• Start the power of base 12 from 0.
• While converting, from right to left,
  • Multiply digit 1 with 12 to the power of zero which gives one...

Explanation of Solution

d.

Conversion of 891 into base 13:

• is a base 13 number.
• Convert the number 891 into base 10 and then process it from right to left.
• Start the power of base 13 from 0.
• While converting, from right to left,
  • Multiply digit 1 with base 13 to the power of zero which gives one...

Explanation of Solution

e.

Conversion of 891 into base 16:

• is a base 16 number.
• Convert the number 891 into base 10 and then process it from right to left.
• Start the power of base 16 from 0.
• While converting, from right to left,
  • Multiply digit 1 with base 16 to the power of zero which gives one...