# Binary Operation OP Malhotra S.Chand ISC Class-12 Maths Solutions Ch-3

Binary Operation OP Malhotra S.Chand ISC Class-12 Maths Solutions Ch-3. Step by step Solutions of OP Malhotra SK Gupta Anubhuti Gangal S.Chand ISC Class-12 Mathematics with Exe-3 and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.

## Binary Operation OP Malhotra S.Chand ISC Class-12 Maths Solutions Ch-3

Class: | 12th |

Subject: | Mathematics |

Chapter : | Ch-3 Binary Operation of Section -A |

Board | ISC |

Writer | OP Malhotra, SK Gupta, Anubhuti Gangal |

Publications | S.Chand Publications 2020-21 |

**-: Included Topics :- **

Exe-3

Chapter Test

### Binary Operation OP Malhotra S.Chand ISC Class-12 Maths Solutions Ch-3

**Binary Operation :**

We take the set of numbers on which the binary operations are performed as X. The operations (addition, subtraction, division, multiplication, etc.) can be generalised as a binary operation is performed on two elements (say **a** and **b**) from set X. The result of the operation on **a **and **b** is another element from the same set X.

Thus, the binary operation can be defined as an operation * which is performed on a set A. The function is given by *: A * A → A. So the operation ***** performed on operands *a* and *b* is denoted by **a * b**.

**Binary Addition :**

The binary addition operation works similarly to the base 10 decimal system, except that it is a base 2 system. The binary system consists of only two digits, 1 and 0. Most of the functionalities of the computer system use the binary number system. The binary code uses the digits 1’s and 0’s to make certain processes turn off or on. The process of the addition operation is very familiar to the decimal system by adjusting to the base 2.

**Exe-3**

Binary Operation OP Malhotra S.Chand ISC Class-12 Maths Solutions Ch-3

Question 1:

(i) Let * be a binary operation N given by a * b = HCF (a, b), a,b ∈ N.

Write the value of 22 * 4

(ii) Let * be a binary ………………..

(iii) If a * b……………..

(iv) If the binari operation * on the set of integer ……………………….

Question 2:

Check weather the following are binary operation or not.

Question 3:

……………………

……………………

……………………

Question 14:

In each of following …………………… of the set.

(i) …………….

(ii) ……………

………………..

**Binary Subtraction :**

Can you subtract binary numbers? The answer is yes. Subtraction of binary numbers is an arithmetic operation similar to the subtraction of decimal numbers or base 10 numbers. For example, 1 + 1 + 1 = 3 in base 10 and 1 + 1 + 1 = 11 in binary number system. When you add and subtract binary numbers, you will need to be careful when borrowing as these will take place more often.

**Binary Multiplication :**

The binary multiplication operation is actually a process of addition and shifting operation. This process has to be continued until all the multiplier is done, and finally, the addition operation is made.

**Binary Division :**

The binary division operation is similar to the base 10 decimal system, except the base 2. The division is probably one of the most challenging operations of the basic arithmetic operations.

**Chapter Test**

Binary Operation OP Malhotra S.Chand ISC Class-12 Maths Solutions Ch-3

Question 1:

Let * be a binary operation on N given by a* b = LCM of (a,b) for a,b ∈ N.

Find 5 * 7

Question 2:

The binary operation ………………

Question 3:

…………………

……………….

Question 5:

(i) Is the operation, * ………………..

(ii) Is the above binary operation……………….

-: End of Binary Operation **OP Malhotra S. Chand **ISC Class-12 Maths Chapter-3 Solution :-

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