diff --git a/data_structures/stacks/infix_to_prefix_conversion.py b/data_structures/stacks/infix_to_prefix_conversion.py
index 6f6d5d57e2cb..7b904b94e499 100644
--- a/data_structures/stacks/infix_to_prefix_conversion.py
+++ b/data_structures/stacks/infix_to_prefix_conversion.py
@@ -15,7 +15,53 @@
 """
 
 
-def infix_2_postfix(infix):
+def infix_2_postfix(infix: str) -> str:
+    """
+    >>> infix_2_postfix("a+b^c")
+     Symbol  |  Stack  | Postfix
+    ----------------------------
+       a     |         | a
+       +     | +       | a
+       b     | +       | ab
+       ^     | +^      | ab
+       c     | +^      | abc
+             | +       | abc^
+             |         | abc^+
+    'abc^+'
+
+    >>> infix_2_postfix("1*((-a)*2+b)")
+     Symbol  |    Stack     |   Postfix
+    -------------------------------------------
+       1     |              | 1
+       *     | *            | 1
+       (     | *(           | 1
+       (     | *((          | 1
+       -     | *((-         | 1
+       a     | *((-         | 1a
+       )     | *(           | 1a-
+       *     | *(*          | 1a-
+       2     | *(*          | 1a-2
+       +     | *(+          | 1a-2*
+       b     | *(+          | 1a-2*b
+       )     | *            | 1a-2*b+
+             |              | 1a-2*b+*
+    '1a-2*b+*'
+
+    >>> infix_2_postfix("")
+     Symbol  |  Stack  | Postfix
+    ----------------------------
+    ''
+
+    >>> infix_2_postfix("(()")
+    Traceback (most recent call last):
+        ...
+    ValueError: Invalid bracket position(s)
+
+    >>> infix_2_postfix("())")
+    Traceback (most recent call last):
+        ...
+    ValueError: Invalid bracket position(s)
+    """
     stack = []
     post_fix = []
     priority = {
@@ -26,13 +72,13 @@ def infix_2_postfix(infix):
         "+": 1,
         "-": 1,
     }  # Priority of each operator
-    print_width = len(infix) if (len(infix) > 7) else 7
 
+    print_width = min(len(infix), 7)
     # Print table header for output
     print(
         "Symbol".center(8),
         "Stack".center(print_width),
-        "Postfix".center(print_width),
+        "Postfix".rjust((print_width - 7) // 2 + 7),
         sep=" | ",
     )
     print("-" * (print_width * 3 + 7))
@@ -43,6 +89,9 @@ def infix_2_postfix(infix):
         elif x == "(":
             stack.append(x)  # if x is "(" push to Stack
         elif x == ")":  # if x is ")" pop stack until "(" is encountered
+            if len(stack) == 0:  # close bracket without open bracket
+                raise ValueError("Invalid bracket position(s)")
+
             while stack[-1] != "(":
                 post_fix.append(stack.pop())  # Pop stack & add the content to Postfix
             stack.pop()
@@ -50,44 +99,106 @@ def infix_2_postfix(infix):
             if len(stack) == 0:
                 stack.append(x)  # If stack is empty, push x to stack
             else:  # while priority of x is not > priority of element in the stack
-                while len(stack) > 0 and priority[x] <= priority[stack[-1]]:
+                while (
+                    len(stack) > 0
+                    and stack[-1] != "("
+                    and priority[x] <= priority[stack[-1]]
+                ):
                     post_fix.append(stack.pop())  # pop stack & add to Postfix
                 stack.append(x)  # push x to stack
 
-        print(
-            x.center(8),
-            ("".join(stack)).ljust(print_width),
-            ("".join(post_fix)).ljust(print_width),
-            sep=" | ",
-        )  # Output in tabular format
+        if post_fix != []:
+            print(
+                x.center(8),
+                ("".join(stack)).ljust(print_width),
+                "".join(post_fix),
+                sep=" | ",
+            )  # Output in tabular format
+
+        else:  # Post_fix is empty -> remove trailing space in table
+            print(
+                x.center(8) + " | " + ("".join(stack)).ljust(print_width) + " |"
+            )  # Output in tabular format
 
     while len(stack) > 0:  # while stack is not empty
+        if stack[-1] == "(":  # open bracket with no close bracket
+            raise ValueError("Invalid bracket position(s)")
+
         post_fix.append(stack.pop())  # pop stack & add to Postfix
         print(
             " ".center(8),
             ("".join(stack)).ljust(print_width),
-            ("".join(post_fix)).ljust(print_width),
+            "".join(post_fix),
             sep=" | ",
         )  # Output in tabular format
 
     return "".join(post_fix)  # return Postfix as str
 
 
-def infix_2_prefix(infix):
-    infix = list(infix[::-1])  # reverse the infix equation
+def infix_2_prefix(infix: str) -> str:
+    """
+    >>> infix_2_prefix("a+b^c")
+     Symbol  |  Stack  | Postfix
+    ----------------------------
+       c     |         | c
+       ^     | ^       | c
+       b     | ^       | cb
+       +     | +       | cb^
+       a     | +       | cb^a
+             |         | cb^a+
+    '+a^bc'
+
+    >>> infix_2_prefix("1*((-a)*2+b)")
+     Symbol  |    Stack     |   Postfix
+    -------------------------------------------
+       (     | (            |
+       b     | (            | b
+       +     | (+           | b
+       2     | (+           | b2
+       *     | (+*          | b2
+       (     | (+*(         | b2
+       a     | (+*(         | b2a
+       -     | (+*(-        | b2a
+       )     | (+*          | b2a-
+       )     |              | b2a-*+
+       *     | *            | b2a-*+
+       1     | *            | b2a-*+1
+             |              | b2a-*+1*
+    '*1+*-a2b'
+
+    >>> infix_2_prefix('')
+     Symbol  |  Stack  | Postfix
+    ----------------------------
+    ''
 
-    for i in range(len(infix)):
-        if infix[i] == "(":
-            infix[i] = ")"  # change "(" to ")"
-        elif infix[i] == ")":
-            infix[i] = "("  # change ")" to "("
+    >>> infix_2_prefix('(()')
+    Traceback (most recent call last):
+        ...
+    ValueError: Invalid bracket position(s)
 
-    return (infix_2_postfix("".join(infix)))[
+    >>> infix_2_prefix('())')
+    Traceback (most recent call last):
+        ...
+    ValueError: Invalid bracket position(s)
+    """
+    new_infix = list(infix[::-1])  # reverse the infix equation
+
+    for i in range(len(new_infix)):
+        if new_infix[i] == "(":
+            new_infix[i] = ")"  # change "(" to ")"
+        elif new_infix[i] == ")":
+            new_infix[i] = "("  # change ")" to "("
+
+    return (infix_2_postfix("".join(new_infix)))[
         ::-1
     ]  # call infix_2_postfix on Infix, return reverse of Postfix
 
 
 if __name__ == "__main__":
+    from doctest import testmod
+
+    testmod()
+
     Infix = input("\nEnter an Infix Equation = ")  # Input an Infix equation
     Infix = "".join(Infix.split())  # Remove spaces from the input
     print("\n\t", Infix, "(Infix) -> ", infix_2_prefix(Infix), "(Prefix)")