**Binary to decimal conversion :**

The decimal number system that we used everyday contains ten digits, 0 through 9 and the base of this system is 10.

There is another very important number system known as Binary Number System which contains only two digits, 0 and 1. So the base of binary number system is 2.

To avoid confusion while using different numeral systems, the base of each individual number may be specified by writing it as subscript of the number.

For example, the decimal number 156 will be written as 15610. The binary number 10011100 will be specified as 100111002.

In the binary system, only 2 digits are used, namely 0 and 1. The positional values in a base 2 system are ….,

2⁴, 2³, 2², 2¹, 2⁰

Note : There is no 2 in base 2.

For (1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010, 1011, 1111, …..)

For example, the number 10011 (base 2) means :

= 1x2⁴ + 0x2³ + 0x2² + 1x2¹ + 1x2⁰

= 16 + 0 + 0 + 2 + 1

= 19 (base 10)

A binary number 11001 (base 2) can be converted into decimal number (base 10) using the method explained below.

Therefore, the binary number 11001 (base 2) is equal to the decimal number 25 (base 10)

Do you want to check your answer fro the questions like "Decimal to binary" or "Binary to decimal" ?

Please click on the following links to get answer instantly for your questions.

**Binary to decimal online converter**

**Decimal to binary online converter**

**Now, let us look at, "How to convert decimal in to binary"**

A decimal number 35 (base 10) can be converted into binary number (base 2) using the method explained below.

Since the binary number has the base 2, we go on dividing by 2 and get the remainder.

Therefore, the decimal number 35 (base 10) is equal to the binary number 100011 (base 2).

The Binary Number System plays a central role in how information of all kinds is stored on computers. Almost all packaged goods we buy today are marked with Universal Product Code (UPC).

An Optical scanner ‘reads’ the patterns of black and white, thick and thin and converts it to a binary code that is sent to the scanner’s computer, which then calls up the appropriate product name, price, etc.,.

On a compact disc (CD), music is digitally encoded on the underside of the disc in a binary system of pits and “lands’ (non – pits). If a CD is played, a laser beam traverses along the spiral and is reflected when it hits a land, but it is not reflected by the pits.

It is these changes that return binary date. A change is recorded as a 1, and no change is recorded as a 0. The binary sequence is then converted into music.

After having gone through the stuff given above, we hope that the students would have understood "Binary to decimal conversion".

Apart from the stuff given above, if you want to know more about "Binary to decimal conversion", please click here

Apart from the stuff given on this web page, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**