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# RD Sharma Class 12 Solutions Chapter 3 - Binary Operations (Ex 3.3) Exercise 3.3 Last updated date: 03rd Dec 2023
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## RD Sharma Solution- Free PDF

Free PDF download of RD Sharma Class 12 Solutions Chapter 3 - Binary Operations Exercise 3.3 solved by Expert Mathematics Teachers on Vedantu.com. All Chapter 3 - Binary Operations Ex 3.3 Questions with Solutions for RD Sharma Class 12 Maths to help you to revise the complete Syllabus and Score More marks. Register for online coaching for IIT JEE (Mains & Advanced) and other engineering entrance exams.

## RD Sharma Class 12 Solutions Chapter 3 - Binary Operations (Ex 3.3) Exercise 3.3

### Binary Operations – Chapter 12, MATHEMATICS (CLASS 12)

‘Binary operations’ is the 12th chapter of Mathematics in class 12. Here, students will learn about binary operations. ‘Binary’ means two and multiplication, addition and subtraction are examples of the binary operation. Binary operations associate two elements from a set. As a result, the resultant of these two are from the same set. Thus the calculations combine two elements from the set that are operands to produce another element of the same set. There are mainly 4 types of binary operations namely binary addition, binary multiplication, binary division and binary subtraction.

Mathematics in class 12 is very important and can be scored and enhance the overall percentage, not only for the percentage it is also useful in the future as well. This is a subject that cannot be memorized and can be well gripped only through thorough practice.

Maths has to be practised regularly and the steps have to be followed in solving the problems. Students should make sure that they understand what is being asked and solve accordingly.  The more you practice the more you will reach the level of perfection.

## FAQs on RD Sharma Class 12 Solutions Chapter 3 - Binary Operations (Ex 3.3) Exercise 3.3

Binary addition is a type of binary operations. It is similar to decimal system however; the binary system has only two digits – 1 and 0.  The computer system uses this number system for most of its functions and commands. There are four rules students can use for binary addition:

• 0 + 0 = 0

• 0 + 1 = 1

• 1 + 0 = 1

• 1 + 1 =10

This can be used to solve equations provided to you.

2. What is an associative property of binary operations?

The associative property of binary operations hold if, for a non-empty set A, we can write (a * b) *c = a*(b * c), where {a, b, c} ∈ A. Suppose X be the set of integers and multiplication be the binary operation. Let, a = -3, b = 5, and c = -16. We can write (a × b) × c = 240 = a × (b × c).  Students need to remember that all binary operations are not associative, for example, subtraction is denoted by

3. Can I get NCERT solutions for all questions?

Yes, anyone can get their free PDF form of NCERT solutions. The solutions come with explanations that are written in an easy language for students to understand better. The solutions are given by subject experts who have immense knowledge in this and have years of experience. The PDF will be helpful for students during their board examinations and it’ll be a great reference tool and a study guide.

4. Can I use the study material for my entrance?

Yes, students can download the PDF format of study materials provided by Vedantu. They can download the important notes, sample papers, and practice questions which will be in PDF format that can be easily downloaded from the Vedantu app or website. Anyone can log in to the Vedantu platforms and get the required study materials they are looking for. This will be very helpful for students preparing for IIT JEE, NEET, or any other state entrance examinations.

5. Are there any subject experts who can guide me?

Yes, there are subject experts on Vedantu who have years of experience in teaching and problem-solving. It is important for students to solve every NCERT solution and practice sample papers but it can be tough at times. For this, Vedantu subject experts can help students with solved examples and explain them easily. When you face any difficulty, the tutors will help you solve it. This is free of cost and students can access all of these benefits freely.