- Digit- A digit is a single place that can hold numerical values between 0 and 9.Digits are normally combined together in groups to create larger numbers.
- Base 10- decimal number system
- Where does the word bit originate from? -The word 'bit' was derived from the term binary digit (0 and 1).
- “normal” -counting numbers used in everyday life a based on what sequence of numbers? The binary number system
- 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
(4*1000)+(3*100)+(2*10)+(1*1)
- 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.
- How many bytes in a kilo, mega, giga and tera bytes.
Kilo: 1024 bytes
Mega: 1 048 576 bytes
Giga: 1 073 741 824 bytes
Tera: 1 099 511 627 776 bytes
- Complete the following conversions;
1000 Mb = 0.9765625Gb
500 Gb = 512000Mb
5000 Kb = 4.88281Mb
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