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JSS3: MATHEMATICS - 1ST TERM

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

Binary Arithmetic Operations – Multiplication

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Multiplication in binary is exactly as it is in decimal.

The four major steps in binary digit multiplication are:

0 x 0 = 0

0 x 1 = 0

1 x 0 = 0

1 x 1 = 1 (No borrow or carry method is applicable here)

a. Find the product of 1101two and 111two

Screen Shot 2021 09 14 at 5.25.11 PM

Explanation on addition

1st Column (from right to left) = 1 + 0 = 1. 1 is less than 2, We write down 1.

2nd Column = 0 + 1 = 1. We write down 1.

3rd Column = 1 + 0 + 1 = 2. How many twos are there in 2? \( \frac{2}{2} \) = 1 remainder 0. Write 0 and carry 1 to column 4.

4th column = 1 + 1 + 1 + 0 = 3.How many twos are there in 3? \( \frac{3}{2} \) = 1 remainder 1. Write 1 and carry 1 to column 5.

5th column = 1 + 1 + 1 = 3.How many twos are there in 3? \( \frac{3}{2} \) = 1 remainder 1. Write 1 and carry 1 to column 6.

6th column = 1 + 1 = 2.How many twos are there in 2? \( \frac{2}{2} \) = 1 remainder 0. Write 0 and carry 1 to column 7.

7th column = We write down 1.

Answer = 10110112

b. Multiply 11.01two by 1.1two

Screen Shot 2021 09 14 at 11.49.38 PM

Answer = 100.1112 (count 3 decimal places from right to left)

c. 111two x 110two

Screen Shot 2021 09 14 at 11.57.30 PM

d. 111two  x 111two

Screen Shot 2021 09 15 at 12.01.12 AM

Explanation on addition

1st Column (from right to left) = 1. We write down 1.

2nd Column = 1 + 1 = 2.How many twos are there in 2? \( \frac{2}{2} \) = 1 remainder 0. Write 0 and carry 1 to column 3.

3rd Column = 1 + 1 + 1 + 1 = 4. How many twos are there in 4? \( \frac{4}{2} \) = 2 remainder 0. Write 0 and carry 2 to column 4.

4th column = 2 + 1 + 1 = 4. How many twos are there in 4? \( \frac{4}{2} \) = 2 remainder 0. Write 0 and carry 2 to column 5.

5th column = 2 + 1 = 3. How many twos are there in 3? \( \frac{3}{2} \) = 1 remainder 1. Write 1 and carry 1 to column 6.

7th column = We write down 1.

Answer = 1100012

e. 11101 x 110

Screen Shot 2021 09 15 at 12.26.27 AM

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