Back to: MATHEMATICS JSS3
Welcome to Class !!
We are eager to have you join us !!
In today’s Mathematics class, We will be looking at Multiplication and Division in Base Two. We hope you enjoy the class!
MULTIPLICATION AND DIVISION IN BASE TWO
In multiplication, 0 x 0 = 0, 1 x 0 = 0, 1 x 1 = 1.
When there is long multiplication of binary numbers, the principle of addition can be used to derive the answer. Under division, the principle of subtraction can be used.
Worked Examples:
- 1110 x 111
Solution:
- Multiply 11.01 by 1.1 in base two
Solution:
DIVISION IN BASE TWO
Example:
Divide 110010101 by 1111
Solution:
1100101012 ÷ 11112 = 110112
Example:
Find the square root of 10100012
Solution:
First convert it to base 10
10100012 = 1 x 2 6+ 0 + 1 x 2 4+ 0 + 0 + 0 + 1 x 20
= 64 + 16 + 1 = 81ten
The square root of 81 = 9ten
2 | 9 1
2 | 4 0
2 | 2 0
2 | 1 1
0 | 0
= 10012
EVALUATION
- 10111÷110
- 10001 x 11
We have come to the end of this class. We do hope you enjoyed the class?
Should you have any further question, feel free to ask in the comment section below and trust us to respond as soon as possible.
In our next class, we will be talking about Rational and Non-Rational Numbers Variation. We are very much eager to meet you there.
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