Mathematic and Computer

1) Divide 98 by 2, making note of the remainder. Continue dividing quotients by 2, making note of the remainders. Also note the star (*) beside the last remainder.

Division	Remainder,R
98 / 2 = 49	0
49 / 2 = 24	1
24 / 2 = 12	0
12 / 2 = 6	0
6 / 2 = 3	0
3 / 2 = 1	1
1 / 2 = 0	1*

2) The sequence of remainders going up gives the answer. Starting from 1*, we have 1100010. Therefore, 98 in decimal is 1100010 in binary.

Example 2: Convert 21 into binary.

Division	Remainder,R
21 / 2 = 10	1
10 / 2 = 5	0
5 / 2 = 2	1
2 / 2 = 1	0
1 / 2 = 0	1*

Therefore, 21 in decimal is 10101 in binary

Binary to Decimal

Now, how to convert from binary to decimal number. Binary to decimal conversion follows the same steps as decimal to binary, except in reverse order. We begin by multiplying 0 x 2 and adding 1. We continue to multiply the numbers in the "results" column by 2, and adding the digits from left to right in our binary number.

Example 1: Convert 11101 from binary to decimal.

Operation	Result
0 x 2 + 1	1
1 x 2 + 1	3
3 x 2 + 1	7
7 x 2 + 0	14
14 x 2 + 1	29

Therefore, 11101 in binary is 29 in decimal.

Binary numbers, as with decimal, octal, and hexadecimal numbers, are organized into columns. To learn binary math, we first need to understand how number systems operate. Let's take a look at the decimal system first, since it is simple and easier to think about. We can consider the number "1234" as,

Thousands	Hundreds	Tens	Ones
1	2	3	4

Which means,
1234 = 1x1000 + 2x100 + 3x10 + 4x1

Given,

1000 = 10^3 = 10x10x10
100 = 10^2 = 10x10
10 = 10^1 = 10
1 = 10^0 (any number to the exponent zero is one, except for zero)

The table above can be represented as,

Thousands	Hundreds	Tens	Ones
10^3	10^2	10^1	10^0
1	2	3	4

such that,

1234 = 1x1000 + 2x100 + 3x10 + 4x1 = 1x10^3 + 2x10^2 + 3x10^1 + 4x10^0

The decimal system, as with decimal math, operates in "base 10" (dec being the Latin prefix for ten) using the digits 0-9 to represent numbers, whereas the binary system, as well as its math, operates in "base 2" (bi being the Latin prefix for two) using the digits 0-1 to represent numbers. The base is also known as the radix. In other words, the table above can be represented as,

	Thousands	Hundreds	Tens	Ones
Decimal	10^3	10^2	10^1	10^0
Binary	2^3	2^2	2^1	2^0

In base 10, we put the digits 0-9 in columns 10^0, 10^1, 10^2, and so on. To put a number that is greater than 9 into 10^n, we must add to 10^(n+1). For example, adding 10 to column 10^0 requires us to add 1 to the column 10^1.

In base 2, we put the digits 0-1 in columns 2^0, 2^1, 2^3, and so on. To put a number that is greater than 1 into 2^n, we must add to 2^(n+1). For example, adding 3 to column 2^0 requires us to add 1 to the column 2^1.

Here are some decimal numbers represented in binary.

Decimal	Binary
1	1
2	10
3	11
4	100
5	101
6	110
7	111
8	1000
9	1001
10	1010

look at the upper left hand side when you are logged in to your Gmail account.

Google Document location: Upper left corner

The Documents link as seen below.

Clicking the Documents link opens a page as seen below.

This is where we can share our document to our friend. If you want to see the complete how to use this aplication, you can visit http://www.google.com/google-d-s/intl/en/tour1.html
There is you can find a tutorial about Google Docs.

Office 2010 will be slightly different from previous versions. On this latest edition, Microsoft will develop the most pupular software in the world with web-based operation. Where users can create and edit documents in a web browser. So that Office 2010 can be synchronized with the Internet online. This main function will differentiate this product with Office 2007.
This seems intended to compete Googgle, since a year ago has spread documents operation programme online and free, through the features of Google.doc, Office 2010 product will be marketed to corporate and individual. The online version will also be provided so that we can buy the software by downloading it.
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