A Binary Number is made up of only 0s and 1s. 110100 There is no 2, 3, 4, 5, 6, 7, 8 or 9 in Binary! Binary numbers have many uses in mathematics and beyond. How do we Count using Binary?It is just like counting in decimal except we reach 10 much sooner.
The same thing is done in binary ...
And that is what we do in binary ...
See how it is done in this little demonstration (press play button): Decimal vs BinaryHere are some equivalent values:
SymmetryBinary numbers also have a beautiful and elegant pattern: Here are some larger values:
"Binary is as easy as 1, 10, 11." Now see how to use Binary to count past 1,000 on your fingers: PositionIn the Decimal System there are Ones, Tens, Hundreds, etc In Binary there are Ones, Twos, Fours, etc, like this: This is 1×8 + 1×4 + 0×2 + 1 + 1×(1/2) + 0×(1/4) + 1×(1/8) Numbers can be placed to the left or right of the point, to show values greater than one and less than one.
Example: 10.1
You can do conversions at Binary to Decimal to Hexadecimal Converter. Words
The word binary comes from "Bi-" meaning two. We see "bi-" in words such as "bicycle" (two wheels) or "binocular" (two eyes).
A single binary digit (like "0" or "1") is called a "bit". For example 11010 is five bits long. The word bit is made up from the words "binary digit" How to Show that a Number is BinaryTo show that a number is a binary number, follow it with a little 2 like this: 1012 This way people won't think it is the decimal number "101" (one hundred and one). ExamplesExample: What is 11112 in Decimal?
Example: What is 10012 in Decimal?
Example: What is 1.12 in Decimal?
Example: What is 10.112 in Decimal?
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