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Contents

# Octal

Convert an octal number, represented as a string of ascii values (e.g. "1735263"), to its
decimal equivalent using first principles. For instance, given the input "10", your program
should return the integer 8.

## Note
- Treat invalid input as octal 0.

## About Octal (Base-8)
Decimal is a base-10 system.

A number 233 in base 10 notation can be understood
as a linear combination of powers of 10:

- The rightmost digit gets multiplied by 10^0 = 1
- The next number gets multiplied by 10^1 = 10
- ...
- The *n*th number gets multiplied by 10^*(n-1)*.
- All these values are summed.

So:
```
   233 # decimal
 = 2*10^2 + 3*10^1 + 3*10^0
 = 2*100  + 3*10   + 3*1
```

Octal is similar, but uses powers of 8 rather than powers of 10.

So:
```
   233 # octal
 = 2*8^2 + 3*8^1 + 3*8^0
 = 2*64  + 3*8   + 3*1
 = 128   + 24    + 3
 = 155
```
## Source

All of Computer Science [http://www.wolframalpha.com/input/?i=base+8](http://www.wolframalpha.com/input/?i=base+8)

## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others have completed the exercise.

Version data entries

135 entries across 135 versions & 1 rubygems

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