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

- Radix Complement

- Diminished Radix Complement

- Arithmetic Operations of Binary Numbers

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