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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. Factorisation I | Week 5
    4 Topics
    |
    1 Quiz
  6. Factorisation II | Week 6
    3 Topics
    |
    1 Quiz
  7. Factorisation 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



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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.

Binary Arithmetic

Example

Convert the following denary numbers to binary numbers

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

a. 15

Screen Shot 2020 11 27 at 9.23.44 PM

= 1111two

b. 48

Screen Shot 2020 11 27 at 9.24.18 PM

110000two

c. 29

Screen Shot 2020 11 27 at 9.27.20 PM

= 11101two

d. 69

Screen Shot 2020 11 27 at 9.32.08 PM

= 1000101two

Converting binary numbers to base 10

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

16 + 0 + 0 + 2 + 1 =  19ten

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

= 32 + 0 + 0 + 4 + 2+ 1  =  39ten

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