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+#!/usr/bin/env python3
+
+# Challenge 178
+#
+# Task 1: Quater-imaginary Base
+# Submitted by: Mohammad S Anwar
+#
+# Write a script to convert a given number (base 10) to quater-imaginary base
+# number and vice-versa. For more informations, please checkout wiki page.
+#
+# For example,
+#
+# $number_base_10 = 4
+# $number_quater_imaginary_base = 10300
+
+def dec_to_base2i(n):
+    base = -4
+    result = ""
+    while n != 0:
+        i = n % base
+        n //= base
+        if i < 0:
+            i += abs(base)
+            n += 1
+        result = "0" + str(i) + result  # imaginary is zero
+    result = result.lstrip('0')
+    return result
+
+def base2i_to_dec(n2i):
+    base = -4
+    result = 0
+    digits = list(reversed(n2i))
+    for i in range(len(digits)):
+        if i % 2 == 0:  # real part
+            result += int(digits[i]) * (base ** (i // 2))
+        elif digits[i] != '0':  # imaginary part
+            raise ValueError(f"number {n2i} has imaginary component")
+    return result
+
+assert(dec_to_base2i(4) == '10300')
+assert(base2i_to_dec('10300') == 4)