binary code to gray code conversion

conversions/binary_to_gray.py

@@ -0,0 +1,51 @@
+"""
+Convert gray code into binary code and vice versa.
+
+gray code:
+In the binary numbering scheme known as gray code,
+which is sometimes referred to as reflected binary code or unit distance code,
+two subsequent values only differ by one bit. In other words,
+Gray code is useful for error correction, rotary encoders, and
+digital communication since only one bit changes its value 
+as you go from one number to the next.
+
+
+Reference : https://en.wikipedia.org/wiki/Gray_code
+"""
+
+
+def binary_to_gray(binary: str) -> str:
+    """
+    Convert a binary number to Gray code
+
+    binary: A binary number as a string.
+    return: The Gray code representation as a string.
+    >>> binary_to_gray("1101101")
+    '1011011'
+    """
+    gray = binary[0]
+    for i in range(1, len(binary)):
+        gray_bit = int(binary[i]) ^ int(binary[i - 1])
+        gray += str(gray_bit)
+    return gray
+
+
+def gray_to_binary(gray: str) -> str:
+    """
+    Convert Gray code to binary.
+
+    gray: A Gray code representation as a string.
+    return: The binary number as a string.
+    >>> gray_to_binary("1011110")
+    '1101011'
+    """
+    binary = gray[0]
+    for i in range(1, len(gray)):
+        binary_bit = int(gray[i]) ^ int(binary[i - 1])
+        binary += str(binary_bit)
+    return binary
+
+
+if __name__ == "__main__":
+    import doctest
+    doctest.testmod()