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 :
= 1 x 24 + 0 x 23 + 0 x 22 + 1 x 21 + 1 x 20
= 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.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
You can also visit the following web pages on different stuff in math.
APTITUDE TESTS ONLINE
ACT MATH ONLINE TEST
TRANSFORMATIONS OF FUNCTIONS
ORDER OF OPERATIONS
Analytical geometry calculators
MATH FOR KIDS
Word problems on linear equations
Trigonometry word problems
Word problems on mixed fractrions
Ratio and proportion shortcuts
Converting repeating decimals in to fractions