Lesson
Title: Conversion of another base to another base.
Objectives:
At the end of this lesson, you will be able to solve conversion of another base to another base.
What you should know:
To fully understand this lesson, you should be familiar with,
- Conversion of other bases to base 10.
- Conversion of base 10 to other bases.
Introduction:
Conversion of another base to another base involves the application of converting other bases to base 10 and converting base 10 to other bases.
Presentation / Steps:
Given, convert 11012 to base 5.
Step 1: convert 11012 to base 10.
=> Using the steps in our previous lesson - conversion of other bases to base 10.
=> The number base value = 2.
=> Ranking, 13 12 01 10, rank values 3, 2, 1, 0 .
=> digit x (number base value)rank value ...
=> 1x23 + 1x22 + 0x21 + 1x20
=> 1x(2x2x2) + 1x(2x2) + 0x2 + 1x1.
=> 1x8 + 1x4 + 0x2 + 1.
=> 8 + 4 + 0 + 1 = 13.
Step 2 : Convert 1310 to base 5.
=> Using the step in our previous lesson - conversion of base 10 to other bases.
=> The other base value = 5.
=> 13 ÷ 5 = Q 2 R 3.
=> 2 ÷ 5 = Q 0 R 2.
=> The remainders from bottom to top = 23.
Therefore, 11012 to base 5 = 235
Summary / Conclusion:
In this lesson, we used the steps from the previous lessons, if you skipped any, you can check them by clicking "prev".