- What is a Digit
A digit is a single place that can hold numerical values between 0 and 9 - “normal” counting numbers used in everyday life a based on what sequence of numbers?the binary number system
- Where does the word bit originate from?The word bit is a shortening of the words "Binary digIT
- Binary numbers don’t use base 10. What base do they use? What digits are available in base 2?
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
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)
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