# Arithmetic Operations of Binary Numbers

The arithmetic operations of binary numbers, namely, addition, subtraction, multiplication and division of binary numbers are almost similar to those of decimal system.

Addition, subtraction, multiplication and division of binary numbers can be made by following the usual rules of arithmetic.

Just like the decimal system, the following basic laws hold good in binary system:

(i) Unique Existence Law: The sum and product of any two numbers exist uniquely.

We should also note that 0 is the identity element for addition and 1 is the identity element for multiplication.

(ii) Associative Law: Addition and multiplication of binary numbers are associative.

(iii) Commutative Law: Addition and multiplication of binary numbers are commutative.

(iv) Distributive Law: Multiplication of binary numbers is distributive over two or more terms in addition.

• Why Binary Numbers are Used
• Binary to Decimal Conversion
• Conversion of Numbers
• Hexa-decimal Number System
• Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
• Octal and Hexa-Decimal Numbers
• Signed-magnitude Representation
• Arithmetic Operations of Binary Numbers

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles 1. ### Measuring Capacity | Standard Unit of Capacity | Litre | Millilitres

Nov 29, 23 01:15 AM

We will discuss about measuring capacity. The milkman measures milk in liters. Petrol is given in liters. Mobil oil is sold in liters. Two milk bottles contain 1 liter of milk. One milk bottle

2. ### Addition and Subtraction of Units of Measurement | Metric Units

Nov 29, 23 12:54 AM

We can add the units of measurement like decimal numbers. 1. Add 5 m 9 dm and 11 m and 5 dm Solution: 5 m 9 dm = 5.9 m 11 m 5 dm = 11.5 m Hence, 5 m 9 dm + 11 m 5 dm = 17 m 4 dm or 17.4 m 2. Add 15 cm…