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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:

Rules for Addition
  • 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
 

More topics in  Binary Numbers
Binary Representation of Numbers Counting in Binary
Binary Fractions Binary Arithmetic
Binary Conversion Negative Binary Numbers
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