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# Binary Numbers

In computer science and mathematics, the binary number system is a radix 2 number system with 1 and 0 as the two independent digits. The word binary comes from "Bi-" means two. A Binary system is made up of only 1s and 0s. A single binary digit is called a bit like 1001 is four bits long. The binary numbers system is also called as base-2 numeral system.

Binary number system, represents numeric values using binary numbers: typically 0 and 1.

For example: (10010)$_2$ is a binary number.

Decimal numbers can be represented in binary numbers. The first 11 numbers in the binary number system are shown below:

 Decimal to Binary 0 0 1 1 2 10 3 11 4 100 5 101 6 110 7 101 8 1000 9 1001 10 1010

Addition and subtraction of binary numbers:

Addition and subtraction of binary numbers is accomplished in the same manner as decimal addition and subtraction. The basic rules for Addition and subtraction of binary numbers are:

• 0 + 0 = 0
• 1 + 0 = 1
• 0 + 1 = 1
• 1 + 1 = 0 (plus a carry of 1)

Rules for Subtraction
• 0 - 0 = 0
• 1 - 1 = 0
• 1 - 0 = 1
• 0 - 1 = 1 (borrow from the next column)

 Related Calculators Adding Binary Numbers Calculator Binary Conversion Calculator Binary to Hex Calculator Convert Decimal to Binary Calculator

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