- Addition in base 2
- Subtraction in base 2
- Multiplication & Division in base 2
ADDITION IN BASE TWO
We can add binary numbers in the same way as we separate with ordinary base 10 numbers.
The identities to remember are:-
0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1, 1 + 1 = 10, 1 + 1 + 1 = 11, 1 + 1 + 1 + 1 = 100
SUBTRACTION IN BASE TWO
The identities to remember on subtraction are: 0 – 0 = 0, 1 – 0 = 1, 10 – 1 = 1, 11 – 1 = 10, 100 – 1 = 11
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.
READING ASSIGNMENT
Essential Mathematics for SS 1 pages 54 – 55
WEEKEND ASSIGNMENT
1. Express 3426 as a number in base 10. (a) 342 (b) 3420 (c) 134
2. Change the number 10010 to base 10 (a) 18 (b) 34 (c) 40
3. Express in base two the square of 11 (a) 1001 (b) 1010 (c) 1011
4. Find the value of (101)2 in base two (a) 1010 (b) 1111 (c) 1001
5. Multiply 1000012 by 11 (a) 1001 (b) 1100011 (c) 10111
THEORY
- Convert the following to binary number 10ten(10ten)2
- Calculate 1102 x (10112 + 10012 – 1012)
- Multiply 345 by 225.
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