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.




● Binary Numbers

  • 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
  • Radix Complement
  • Diminished Radix Complement
  • Arithmetic Operations of Binary Numbers





From Arithmetic Operations of Binary Numbers to HOME PAGE


New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.



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.



Share this page: What’s this?

Recent Articles

RSS

  1. Measuring Capacity | Standard Unit of Capacity | Litre | Millilitres

    Nov 29, 23 01:15 AM

    2 Tablespoonful of Water
    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

    Read More

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

    Nov 29, 23 12:54 AM

    Addition of Lengths
    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…

    Read More

  3. 1 to 10 Times Tables | 1 - 10 Times Table Chart |Multiplication Tables

    Nov 29, 23 12:50 AM

    1 to 10 Times Tables
    Memorizing 1 to 10 Times Tables are very important for mental math and quick calculations. Times Tables are used during multiplication and division. Let us learn all the times tables from 1 to 10 to i…

    Read More