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This blog for the students has been designed strictly in accordance with the competitive examinations. The aim of the blog is to developed the analytical thinking and scientific skills of students to help them prepare for the board examinations and competitive examinations. The content is presented in an easy language and a lucid manner to facilitate a clear understanding of the subject.

 This blog contains exhaustive solved examples to help students learn various topics in an easy manner. Language of this series of topics has been kept very simple and the series aims to make subjects more attractive and understandable for the learners.

 It is hoped that our readers will go through this blog and will appreciate the efforts put into bringing out the blog.It is hoped that this blog will able to create interest in the subject and also motivate the students for various competitive examinations.

                                                                                                                                      Rohit Vaish


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Complement of a Number

Subtraction of Binary Numbers  ;  Octal and Hexadecimal Number  ;  Convert Decimal to Binary Complements Complements are used in digital computers for simplifying the subtraction operation and for logical manipulations. There are two types of complements for each base-r system: (1) the r’s complement and (2) the (r-1)’s complement. When the value of the base is substituted, the two types receive the names 2’s and 1’s complement for binary numbers,  10’s and 9’s complement for decimal numbers. The r’s Complement Given a positive number N in base r with an integer part of n digits, the r’s complement of N is defined as r n   - N for N is not equal to 0 and 0 for N = 0. The following numerical example will help clarify the definition. The 10’s complement of (52520) 10 is 10 5 – 52520 = 47480 The number of digits in the number is n= 5 The 10’s complement of (0.3267) 10 is 1 – 0.3267 = 0.6733 No integer part, so 10 n = 10 0 = 1 The 10’s...
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Rules of divisibility part -1

Rules of divisibility In Vedic mathematics, it can be determined whether any part of any other number can be given completely without dividing it by several methods. These methods are based on the law of divisibility. By using these rules, calculations related to factors, parts etc. are simplified. Law of divisibility by number 2 :- If unit digit of given number is divisible by 2 then the given number is divisible by 2 also.                                                                 or  If unit digit of given number is 0,2,4,6 or 8 , then given number is divisible by 2. Example :- 10 ,32 ,74 ,108 ,2058 etc. Law of divisibility by number 3 :- If the sum of digits of given number is divisible by 3, then the number is divisible by 3 also. Illustration 1:-  In 546532 sum of digits=5+4+6+5+3+2=25 25 is not divisible...
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Convert Decimal to Binary and Octal

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                 ...
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