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JSS1: MATHEMATICS - 1ST TERM

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  1. Whole Numbers I | Week 1
    3Topics
    |
    1 Quiz
  2. Whole Numbers II | Week 2
    1Topic
    |
    1 Quiz
  3. Counting in Base Two | Week 3
    4Topics
    |
    1 Quiz
  4. Arithmetic Operations | Week 4
    3Topics
    |
    1 Quiz
  5. Lowest Common Multiple (LCM) | Week 5
    1Topic
    |
    1 Quiz
  6. Highest Common Factor | Week 6
    1Topic
    |
    1 Quiz
  7. Fraction | Week 7
    7Topics
    |
    1 Quiz
  8. Basic Operations with Fractions I | Week 8
    3Topics
    |
    1 Quiz
  9. Basic Operations with Fractions II | Week 9
    1Topic
    |
    1 Quiz
  10. Directed Numbers | Week 10
    2Topics
    |
    1 Quiz
  11. Estimation and Approximation I | Week 11
    3Topics
    |
    1 Quiz
  12. Estimation and Approximation II | Week 12
    6Topics
    |
    1 Quiz
Lesson 3, Topic 4
In Progress

Converting Any Base to Any Other Base

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To do this,

  • First convert the given base to base ten. (using the expansion method)
  • Then convert the result to the required base. (using division method)

Example:

Convert 321four to base two 

Solution 

First convert 321four to base 10

321four = 3 x 42 + 2 x 41 + 1 x 40 

= 3 x 16 + 2 x 4 + 1 x 1 

= 48 + 8 + 1 

321four = 57ten 

Now convert 57ten to base two  

maths

321four = 111001two 

Example:

Convert 101110two to an octal number.  

Solution 

Note: Octal means eight 

Convert 101110two to base ten 

101110two = 1 x 25 + 0 x 24 + 1 x 23 + 1 x 22 + 1 x 21 + 0 x 20 

= (1 x 32) + (0 x 16) + (1 x 8) + (1 x 4) + (1 x 2)+ (0 x 1)

= 32 + 0 + 8 + 4 + 2 + 0 

= 46ten 

Now convert 46ten to octal number 

fdd

:- 101110two = 56eight 

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