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




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.



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.




Share this page: What’s this?

Recent Articles

RSS

  1. Properties of Multiplication and Division of Fractions Worksheet | Ans

    Apr 10, 25 03:17 PM

    In properties of multiplication and division of fractions worksheet you will get different types of questions based on properties of multiplication of fractional numbers and properties of division of…

    Read More

  2. Word Problems on Fraction | Math Fraction Word Problems |Fraction Math

    Apr 09, 25 01:44 AM

    In word problems on fraction we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

    Read More

  3. Multiply a Number by a 2-Digit Number | Multiplying 2-Digit by 2-Digit

    Apr 08, 25 01:13 PM

    Multiply 2-Digit Numbers by a 2-Digit Numbers
    How to multiply a number by a 2-digit number? We shall revise here to multiply 2-digit and 3-digit numbers by a 2-digit number (multiplier) as well as learn another procedure for the multiplication of…

    Read More

  4. Multiplication | How to Multiply a One, Two or Three-digit Number?

    Apr 08, 25 01:08 PM

    In multiplication we know how to multiply a one, two or three-digit number by another 1 or 2-digit number. We also know how to multiply a four-digit number by a 2-digit number. We also know the differ…

    Read More

  5. Addition of 4-Digit Numbers | 4-Digit Addition |Adding 4-Digit Numbers

    Apr 08, 25 12:43 PM

    Addition of 4-Digit Numbers
    We will learn about the addition of 4-digit numbers (without carrying and with carrying). We know how to add 2 or 3, 3-digit numbers without carrying or with carrying.

    Read More