A regular binary number will look something like this:

10110101

You will need to memorize these numbers in order to convert it into a whole number.

128 64 32 16 8 4 2 1

1 0 1 1 0 1 0 1

(Multiply by 2 each time)

1 means YES

0 means NO

Here is an example:

10110101

128+32+16+4+1

You add these numbers together (the ones that equal 1)

And you will get

182

32

16

4

1

+____

235

I believe that this is accurate.

I hope it helped.

While we use 10 numbers in English, the binary system only uses two. So, in English we only need to start repeating numbers when we run through those first 10… 0-9. In binary, you have to start repeating after only 2…0-1.

If you want to change binary into the decimal system, here is the way to do it.

Let’s use this as an example:

110100010

Start with the number on the right, and under it mark a “1”. Under the second number (going to the left) mark a “2.” Under the next, mark a “4”, and then “8”, “16”, “32”, “64”…and so on. (Each number is twice the one before it.)

Now, find all of the one’s in the example. It would seem that (going to the right from the left) the second, sixth, eighth and ninth are one’s, right?

Circle all of the numbers that you have written under the example that have a “1”, and cross out those under a “0”. Now, just add the numbers that remain, and that is the decimal number.

1 1 0 1 0 0 0 1 0

(256) (128) (64) (32) (16) (8) (4) (2) (1)

256+128+32+2=418

This works the other way as well…if you wanted to find out how to write the number 50 in binary, you just do everything in reverse.

Obviously the number is less than 64, so we start with 32. Add on 16, which gives us 47, and so we still have to find 3 more. How do we get 3? Add 2 and 1! So, we need the 32, 16, 2, and 1. All the others are 0’s!

1100011

Tah dah!

2^0 =1 2^1=2 2^2=4 and so on.

so if you have 101 in binary then you have 1+0+4 or 5. The 1s and 0s occupy a position that represents the power to which you raise the number 2. The first position is the zeroth power, second position is the first power, third position is the second power, fourth position is the third power.

If there is a 1 in the position then you add that to the total. If there is a 0 then you don’t.

101010101 would be 2^0 +0 +2^2 + 0 +2^4 +0 + 2^6 +0 + 2^8 or:

1+4+16+64+256 (note, I left out the zeros).

111111111 would be 1+2+4+8+16+32+64+128+256

10111111 would be 1+4+8+16+32+64+128+256

Give it a whirl.

1 and 0.

The binary numbers can represent many different things, but usually they represent the on (1) and off (0) states in electronics and computers. To convert binary into decimal we can use BCD, binary coded decimal. Each binary digit represents 2^X where x is the decimal position of the binary digit:

24 = 01100 = 0 + 2^4 + 2^3 + 0 + 0 = 16+8

40 = 10100 = 2^5 + 0 + 2^3 + 0 + 0 = 32+8

Hope this helps!

…64 32 16 8 4 2 1

So, 0000001=1, 0000010=2, 0000011=3, 0000100=4… 0111001=57 and so on, the next number in the sequence (added to the beginning of the sequence) doubling every time.

to convert to a decimal, for example 1011 is:

start from the right going to the left

2^0 * 1 = 1

2^1 * 1 = 2

2^2 * 0 = 0

2^3 * 1 = 8 +

—————-

add them up and you get 11 as the decimal number

so, 1011 binary = 11 decimal

you read from left to right

The number a digit is depends on how many sapces it is from the 0

for instance:

1 = 1(duh)

10 = 2

11 = 3

100 = 4

101 = 5

111 = 6

1000 = 7

and so one from here