Exercise 4

Added Exercise 4 to respository with README Files

Informatik_I/Exercise_4/Task_4/README.md

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+# Task
+
+Write a program that performs the binary expansion for a given decimal input number $x$, where $0 \leq x < 2$. Use the algorithm presented in the lecture. The program must output the first $16$ digits of the number in the format: $b_0, b_1, b_2, ... , b_15$.
+
+_Important_ Always print all $16$ digits, even the trailing zeros. Do not normalize or round the number.
+
+You can structure your program into functions to avoid code repetition. Do not forget to annotate functions with pre- and post conditions.

Informatik_I/Exercise_4/Task_4/main.cpp

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+#include <iostream>
+
+int main() {
+
+  float i;
+  int n;
+  float d;
+
+  std::cin >> i;
+
+  if (i < 0 || i > 2)
+    return 0;
+  else {
+    n = i;
+    d = i - n;
+
+    std::cout << n << ".";
+
+    n = d;
+    d = 2 * (d - n);
+
+    for (int j = 1; j <= 15; ++j) {
+      n = d;
+      d = 2 * (d - n);
+      std::cout << n;
+    }
+  }
+}