SHREE BALAJI CLASSES (Rohit Sir)

Complement of a Number    Number System    Types of Number system In our previous article, we had discussed Convert any number into Decimal Number. Now, In this article we can easily understand how to convert Decimal Number into other Number Note : The Rule is very simple. Any number which you want convert Decimal to required format. Just divide by its base to this number and remainder is taken from bottom to top. Let’s understand with some examples Convert Decimal to Binary Ex 1. Convert (41) 10 into Binary Number Sol. 41 is divide by 2 because the base of binary number is 2       Integer quotient    Quotient      Remainder        41 / 2                       20                 ...

1. Condition :   This trick is used when we multiply quickly two numbers of two digits. Example.  21 × 59, 89 × 96 etc. Illustration 1:                                                                                                                       Illustration 2 Note : 2nd and 3rd part have only 1 digit. 

Complement of a Number    Number System    Types of Number system       In our previous article, we had discussed about different types of Number System. Now, In this article we can easily understand how to convert Any Number in to Decimal Number System. Convert Binary to Decimal – we convert binary to decimal by multiplying increasing power of two through right to left from decimal. If there is no decimal, we should start from the last digit and multiplying by increasing power of 2 up to first digit. If decimal occurs, then start from the first digit and multiply by decreasing power of 2 up to the last digit. Let’s understand with an example. Ex 1. (110111) 2 Sol. (1*2 5 ) + (1*2 4 ) + (0*2 3 ) + (1*2 2 ) + (1*2 1 ) + (1*2 0 )         (1*32) + (1*16) + (0*8) + (1*4) + (1*2) + (1*1)         32 + 16 + 0 + 4 + 2 + 1         (55) 1...

           In our everyday lives, we use the decimal numbering system. These are digits 0 through 9. Every number expressed in the decimal system is a combination of these ten digits i.e. 360, 418, 086 etc. These numbers uses only digits 0 through 9. However, there is another system which is used in computers, called binary system.                 The binary system works in essentially the same way, with the only difference being that it only has two digits. These are visually expressed by the digits 0 and 1, and every number expressed in the binary system is a combination of 0 and 1.                 These numbers (0 and 1) are actually a representation of signals. In modern electronic technology, computer circuit has only two states, on or off. 0 represent off while 1 represent on. There are many other N...

Different Number Systems – There are some different Number System with correspondence base. Which will describe as follows-   Number System  Base  Representation  Binary Number System      2  (Number) 2  Decimal Number System      10  (Number) 10  Octal Number System      8  (Number) 8  Hexadecimal Number System     16   (Number) 16 Note : Any number can be in decimal form. So there is an another way to solve them quickly. Let’s understand with an example. Ex 1. (4064.10) 10   Sol. This Number can also be written as (4*10 3 ) + (0*10 2 ) + (6*10 1 ) + (4*10 0 ) + (1*10 -1 ) + (0*10 -2 ) Note that after decimal digits we will use decreasing power of 10 from left to right. Ex 2.   (1101.01) 2        Sol. This Number can also be written as (1*2 3 ) + (1*2 2 ) + (0*2 1 ) + (1*2 0 ) + (0*2 -1 ) + (0*2 -2 ) Exercise: From Ques...