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Conversion TypeBinaryOctalHexadecimalBase
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Convert 282 from decimal to octal

(base 8) notation:

##### Power Test

Raise our base of 8 to a power

Start at 0 and increasing by 1 until it is >= 282

80 = 1

81 = 8

82 = 64

83 = 512 <--- Stop: This is greater than 282

Since 512 is greater than 282, we use 1 power less as our starting point which equals 2

##### Build octal notation

Work backwards from a power of 2

We start with a total sum of 0:

##### 82 = 64

The highest coefficient less than 7 we can multiply this by to stay under 282 is 4

Multiplying this coefficient by our original value, we get: 4 * 64 = 256

Add our new value to our running total, we get:
0 + 256 = 256

This is <= 282, so we assign our outside coefficient of 4 for this digit.

Our new sum becomes 256

Our octal notation is now equal to 4

##### 81 = 8

The highest coefficient less than 7 we can multiply this by to stay under 282 is 3

Multiplying this coefficient by our original value, we get: 3 * 8 = 24

Add our new value to our running total, we get:
256 + 24 = 280

This is <= 282, so we assign our outside coefficient of 3 for this digit.

Our new sum becomes 280

Our octal notation is now equal to 43

##### 80 = 1

The highest coefficient less than 7 we can multiply this by to stay under 282 is 2

Multiplying this coefficient by our original value, we get: 2 * 1 = 2

Add our new value to our running total, we get:
280 + 2 = 282

This = 282, so we assign our outside coefficient of 2 for this digit.

Our new sum becomes 282

Our octal notation is now equal to 432

##### Final Answer

We are done. 282 converted from decimal to octal notation equals 4328.

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