## How execute we Count utilizing Binary?

It is similar to counting in decimal other than we reach 10 lot sooner.

You are watching: What is -1 in binary

 Well exactly how do us countin Decimal? 0 Start in ~ 0 ... Count 1,2,3,4,5,6,7,8, and then... 9 This is the last digit in Decimal 10 So us start back at 0 again, but include 1 ~ above the left

The exact same thing is done in binary ...

 Binary 0 Start in ~ 0 • 1 Then 1 •• 10 Now start ago at 0 again, but add 1 top top the left ••• 11 1 more •••• ??? But now what ... ?

 What wake up in Decimal? 99 When we operation out the digits, us ... 100 ... Start ago at 0 again, but add 1 top top the left

And that is what we execute in binary ...

 Binary 0 Start in ~ 0 • 1 Then 1 •• 10 Start earlier at 0 again, but add 1 top top the left ••• 11 •••• 100 start ago at 0 again, and include one to the number on the left...... However that number is already at 1 for this reason it likewise goes back to 0 ...... And also 1 is added to the following position top top the left ••••• 101 •••••• 110 ••••••• 111 •••••••• 1000 Start ago at 0 again (for all 3 digits),add 1 top top the left ••••••••• 1001 And so on!

See just how it is excellent in this little demonstration (press pat button):

## Decimal vs Binary

Here room some identical values:

### Symmetry Binary numbers likewise have a beautiful and also elegant pattern: ## Position

In the Decimal device there are Ones, Tens, Hundreds, etc

In Binary there room Ones, Twos, Fours, etc, choose this: This is 1×8 + 1×4 + 0×2 + 1 + 1×(1/2) + 0×(1/4) + 1×(1/8)= 13.625 in Decimal

Numbers deserve to be inserted to the left or best of the point, to display values higher than one and less than one.

 10.1 The number come the left of the point is a entirety number (such together 10) As we move further left, every number placegets 2 times bigger. The very first digit on the right means halves (1/2). As we move more right, every number placegets 2 time smaller (half together big).

### Example: 10.1

The "10" method 2 in decimal,The ".1" means half,So "10.1" in binary is 2.5 in decimal

You can do conversions in ~ Binary come Decimal come Hexadecimal Converter.

## Words

The word binary originates from "Bi-" definition two. We watch "bi-" in native such as "bicycle" (two wheels) or "binocular" (two eyes). When you say a binary number, pronounce each digit (example, the binary number "101" is talked as "one zero one", or sometimes "one-oh-one"). This means people don"t get puzzled with the decimal number.

A single binary number (like "0" or "1") is dubbed a "bit".

For example 11010 is 5 bits long.

See more: The Pit And The Pendulum Quotes, By Edgar Allan Poe

The word bit is consisted of from the native "binary digit"

## How to display that a Number is Binary

To present that a number is a binary number, monitor it with a small 2 choose this: 1012

This way people won"t think that is the decimal number "101" (one hundred and also one).

## Examples

### Example: What is 11112 in Decimal?

The "1" on the left is in the "2×2×2" position, for this reason that way 1×2×2×2 (=8)The following "1" is in the "2×2" position, therefore that means 1×2×2 (=4)The next "1" is in the "2" position, so that means 1×2 (=2)The last "1" is in the people position, for this reason that way 1Answer: 1111 = 8+4+2+1 = 15 in Decimal

### Example: What is 10012 in Decimal?

The "1" top top the left is in the "2×2×2" position, so that way 1×2×2×2 (=8)The "0" is in the "2×2" position, for this reason that method 0×2×2 (=0)The next "0" is in the "2" position, for this reason that way 0×2 (=0)The last "1" is in the people position, therefore that means 1Answer: 1001 = 8+0+0+1 = 9 in Decimal

### Example: What is 1.12 in Decimal?

The "1" on the left next is in the ones position, for this reason that means 1.The 1 top top the appropriate side is in the "halves" position, therefore that method 1×(1/2)So, 1.1 is "1 and 1 half" = 1.5 in Decimal

### Example: What is 10.112 in Decimal?

The "1" is in the "2" position, so that means 1×2 (=2)The "0" is in the persons position, therefore that method 0The "1" ~ above the ideal of the allude is in the "halves" position, for this reason that means 1×(1/2)The last "1" top top the best side is in the "quarters" position, so that method 1×(1/4)So, 10.11 is 2+0+1/2+1/4 = 2.75 in Decimal

"There are 10 kinds of world in the world,those who recognize binary numbers, and those who don"t."

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