Learning Binary: Beginning

[m_fatica]

Well I've been getting asked about binary a lot lately, so I thought I would make a small guide about it.

What you will learn in this short guide:
-What binary is.
-How to convert a decimal number to binary.
-How to convert a binary number to decimal.
-How to add binary numbers.

Ok, binary is a 2 digit system that consists of 0's and 1's. Just like decimal has 10 digits, 0-10, binary has 2, 0 and 1.

Converting numbers to binary and back isn't that hard, just time consuming. To convert decimal to binary, you divide by 2 and take the remainder (0 or 1). Keep dividing until you end up at 1.

Ex:

Convert 34 to binary:
17
2|34 Remainder 0

8
2|17 Remainder 1

4
2|8 Remainder 0

2
2|4 Remainder 0

1
2|2 Remainder 0

0
2|1 Remainder 1, Here is where we stop.

Now you must take the first remainder and put it as the last digit, and go until you take all the remainders:

0010 0010

Now to convert back to decimal, you have to make a table like this:

32|16|8|4|2|1 <--- Powers of 2 (Can go as high as you want.)

And you fill in the table with the digits:

32|16|8 |4 | 2|1
1 | 0|0|0|0|1|0

Then, everywhere this is a one, you add that number:

32 - yes
16 - no
8 - no
4 - no
2 - yes
1 - no

32 + 2 = 34

Adding binaries is simple, but can be complicated.

If there is a 1 a spot, you carry it to the next spot and make it 0.

Example:

Add 1011 and 1010 (11 and 10)

1011
+1010
10101

I might come up with a more advanced guide later if I can find time, but for now, study, learn, and use!

[Enfeebleness]

Pretty neat stuff
+rep ^^

[thisistheend861]

hehe 1 | 0|0|0|0|1|0 notice |0|=lol=your sending subliminal messages j/k :P but good job,just copied it down and gonna look at it +rep =]