Added decimal_to_base_minus2.py Fixes #9588

maths/decimal_to_base_minus2.py

@@ -0,0 +1,31 @@
+def decimal_to_base_minus_2(decimal_number: int) -> str:
+    """
+    Convert a decimal number to base -2.
+    Args:
+        decimal_number (int): The decimal number to be converted.
+    Returns:
+        str: The converted number in base -2.
+    Examples:
+        >>> decimal_to_base_minus_2(13)
+        '1101'
+        >>> decimal_to_base_minus_2(0)
+        '0'
+        >>> decimal_to_base_minus_2(-10)
+        '110'
+    """
+    if decimal_number == 0:
+        return "0"
+
+    result = ""
+
+    while decimal_number != 0:
+        remainder = decimal_number % (-2)
+        decimal_number = -(decimal_number // (-2))
+
+        if remainder < 0:
+            remainder += 2
+            decimal_number += 1
+
+        result = str(remainder) + result
+
+    return result