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





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