Binary: Difference between revisions
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== Binary == | == Binary == | ||
This is one of the better videos I've seen on binary. | This is one of the better videos I've seen on binary. Content gratefully used with permission : <ref>http://cs50.tv/2015/fall/#license,psets</ref> | ||
Revision as of 07:49, 30 May 2016
This is an important concept. You should fully understand this.
In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices. Each digit is referred to as a bit.[1]
Binary[edit]
This is one of the better videos I've seen on binary. Content gratefully used with permission : [2]
Binary translation table[edit]
I find it helpful to draw this table when I must convert binary to base 10. It also helps when looking at the video above.
| 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
|---|---|---|---|---|---|---|---|
Helpful binary game[edit]
Click here for an excellent game demonstrating how binary works
How to add two binary numbers[edit]
Adding binary is straight forward. Line up the numbers as you would if you were adding base-10 numbers.
Remember this:
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10, so write a 0 and carry the 1 to the next column.
What you must know[edit]
You must be able to correctly answer the following questions:
- Define the term: bit
- Define the term: byte
- Define the term: binary
- Define the term: denary/decimal (they refer to the same thing)
- Define the term: hexadecimal
Why is this so important?[edit]
If we can represent numbers as 1 and 0, why not represent numbers as on and off? If we can represent letters as numbers (A = 65, B = 66) couldn't we also say A = 01000001 and B = 01000010?
Binary representation is the essence of how computers work.
Resources[edit]
Click here for a slide deck that covers this topic nicely