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JSS3: MATHEMATICS - 1ST TERM

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  1. Binary Number System I | Week 1
    5 Topics
    |
    1 Quiz
  2. Binary Number System II | Week 2
    6 Topics
    |
    1 Quiz
  3. Word Problems I | Week 3
    4 Topics
    |
    1 Quiz
  4. Word Problems with Fractions II | Week 4
    1 Topic
    |
    1 Quiz
  5. Factorization I | Week 5
    4 Topics
    |
    1 Quiz
  6. Factorization II | Week 6
    3 Topics
    |
    1 Quiz
  7. Factorization III | Week 7
    3 Topics
    |
    1 Quiz
  8. Substitution & Change of Subject of Formulae | Week 8
    2 Topics
    |
    1 Quiz
  9. Simple Equations Involving Fractions | Week 9
    3 Topics
    |
    1 Quiz
  10. Word Problems | Week 10
    1 Topic
    |
    1 Quiz



Lesson Progress
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Topic Content:

  • Converting Denary Numbers to Binary Numbers
  • Converting Binary Numbers to Base 10

The most widely used number base system after base 10 is the binary system because of its application to computers. In a binary system, the greatest digit used is 1, so the two digits available in the binary system are 0 and 1.

Binary system is called Base Two.

Converting Denary Numbers to Binary Numbers:

Worked Example 1.5.1:

Convert the following denary numbers to binary numbers:

a. 15
b. 48
c. 29
d. 69

Solution

a. 15

Screenshot 2023 08 21 at 19.14.281

= 1111two

b. 48

Screenshot 2023 08 21 at 19.10.43

110000two

c. 29

Screenshot 2023 08 21 at 19.16.56

= 11101two

d. 69

Screenshot 2023 08 21 at 19.27.44

= 1000101two

Converting Binary Numbers to Base 10

Worked Example 1.5.2:

Convert the following binary numbers to denary numbers:

i. 10011two
ii. 100111two

Solution

i. 10011two = 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 1 × 20

16 + 0 + 0 + 2 + 1 =  19ten

ii. 100111two =   1 × 25 + 0 × 24 + 0 × 23 + 1 × 22 + 21 × 1 + 1 × 20

= 32 + 0 + 0 + 4 + 2+ 1  =  39ten

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