exercism/c/binary/README.md

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2024-08-14 17:30:14 -04:00
# 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