mirror of
https://codeberg.org/andyscott/exercism.git
synced 2024-12-22 14:43:10 -05:00
57 lines
1.3 KiB
Markdown
57 lines
1.3 KiB
Markdown
|
# Binary
|
||
|
|
|
||
|
|
Welcome to Binary on Exercism's C Track.
|
||
|
|
If you need help running the tests or submitting your code, check out `HELP.md`.
|
||
|
|
|
||
|
|
## Instructions
|
||
|
|
|
||
|
|
Convert a binary number, represented as a string (e.g. '101010'), to its decimal equivalent using first principles.
|
||
|
|
|
||
|
|
Implement binary to decimal conversion.
|
||
|
|
Given a binary input string, your program should produce a decimal output.
|
||
|
|
The program should handle invalid inputs.
|
||
|
|
|
||
|
|
## Note
|
||
|
|
|
||
|
|
- Implement the conversion yourself.
|
||
|
|
Do not use something else to perform the conversion for you.
|
||
|
|
|
||
|
|
## About Binary (Base-2)
|
||
|
|
|
||
|
|
Decimal is a base-10 system.
|
||
|
|
|
||
|
|
A number 23 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: `23 => 2*10^1 + 3*10^0 => 2*10 + 3*1 = 23 base 10`
|
||
|
|
|
||
|
|
Binary is similar, but uses powers of 2 rather than powers of 10.
|
||
|
|
|
||
|
|
So: `101 => 1*2^2 + 0*2^1 + 1*2^0 => 1*4 + 0*2 + 1*1 => 4 + 1 => 5 base 10`.
|
||
|
|
|
||
|
|
## Source
|
||
|
|
|
||
|
|
### Created by
|
||
|
|
|
||
|
|
- @antony-jr
|
||
|
|
|
||
|
|
### Contributed to by
|
||
|
|
|
||
|
|
- @bcc32
|
||
|
|
- @deathsec
|
||
|
|
- @Gamecock
|
||
|
|
- @h-3-0
|
||
|
|
- @patricksjackson
|
||
|
|
- @QLaille
|
||
|
|
- @RealBarrettBrown
|
||
|
|
- @ryanplusplus
|
||
|
|
- @wolf99
|
||
|
|
|
||
|
|
### Based on
|
||
|
|
|
||
|
|
All of Computer Science - https://www.wolframalpha.com/examples/mathematics/numbers/base-conversions
|