What is a Digit
a digit is a number
a digit is a number
"normal” counting numbers used in everyday life are based on what sequence of numbers?
Where does the word bit originate from?
The word 'bit' was derived from the term binary digit (0 and 1).
The word 'bit' was derived from the term binary digit (0 and 1).
Binary numbers don’t use base 10. What base do they use? What digits are available in base 2?
Examine the tables below
Base 10
Place Value
|
10 000
|
1 000
|
100
|
10
|
1
|
Place Value
|
104
|
103
|
102
|
101
|
100
|
Digit
|
9
|
0
|
3
|
0
|
2
|
Digit Value
|
90 000
|
0
|
300
|
0
|
2
|
90 302 (base 10) = (9 x 10000) + (3 x 100) + (2 x 1)
If 6,357 can be written as;
(6 * 1000) + (3 * 100) + (5 * 10) + (7 * 1) = 6000 + 300 + 50 + 7
Ø How would you write 4,321
- Examine the table below
Base 2
Place Value
|
16
|
8
|
4
|
2
|
1
|
Place Value
|
24
|
23
|
22
|
21
|
20
|
Digit
|
1
|
0
|
1
|
0
|
0
|
Digit Value
|
16
|
0
|
4
|
0
|
0
|
10100 (base 2) = (1 x 16) + (1 x 4) = 20 (base 10)
Ø Write the following numbers in binary (base 2)
21
24
30
- What is a byte?
A group of binary digits or bits (usually eight) operated on as a unit.
8.How many bytes in a kilo, mega, giga and tera bytes.
kilo-1 mega-10 giga-100 tera- 1000
9.Complete the following conversions;
1000 Mb = ?Gb
500 Gb = ?Mb
5000 Kb = ? Mb
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