binary: initial commit

cpp/binary/README.md

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+# Binary
+
+Write a program that will 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`.
+
+## Getting Started
+
+Make sure you have read the [getting started with C++](http://help.exercism.io/getting-started-with-cpp.html)
+page on the [exercism help site](http://help.exercism.io/).  This covers
+the basic information on setting up the development environment expected
+by the exercises.
+
+## Passing the Tests
+
+Get the first test compiling, linking and passing by following the [three
+rules of test-driven development](http://butunclebob.com/ArticleS.UncleBob.TheThreeRulesOfTdd).
+Create just enough structure by declaring namespaces, functions, classes,
+etc., to satisfy any compiler errors and get the test to fail.  Then write
+just enough code to get the test to pass.  Once you've done that,
+uncomment the next test by moving the following line past the next test.
+
+```C++
+#if defined(EXERCISM_RUN_ALL_TESTS)
+```
+
+This may result in compile errors as new constructs may be invoked that
+you haven't yet declared or defined.  Again, fix the compile errors minimally
+to get a failing test, then change the code minimally to pass the test,
+refactor your implementation for readability and expressiveness and then
+go on to the next test.
+
+Try to use standard C++11 facilities in preference to writing your own
+low-level algorithms or facilities by hand.  [CppReference](http://en.cppreference.com/)
+is a wiki reference to the C++ language and standard library.  If you
+are new to C++, but have programmed in C, beware of
+[C traps and pitfalls](http://www.slideshare.net/LegalizeAdulthood/c-traps-and-pitfalls-for-c-programmers).
+
+## Source
+
+All of Computer Science [view source](http://www.wolframalpha.com/input/?i=binary&a=*C.binary-_*MathWorld-)