Updates

modules/addition_bases.py

@@ -6,11 +6,16 @@ description = "This module covers addition operations in bases like binary, octa
 def generate_question():
     import random
 
+    # Choose a base and corresponding valid digits
     base = random.choice([2, 8, 16])
-    num1 = ''.join(random.choice('0123456789ABCDEF') for _ in range(3))
-    num2 = ''.join(random.choice('0123456789ABCDEF') for _ in range(3))
+    digits = '01' if base == 2 else '01234567' if base == 8 else '0123456789ABCDEF'
+
+    # Generate two valid numbers for the selected base
+    num1 = ''.join(random.choice(digits) for _ in range(3))
+    num2 = ''.join(random.choice(digits) for _ in range(3))
 
     def add_numbers(num1, num2, base):
+        # Perform the addition in the correct base
         return hex(int(num1, base) + int(num2, base))[2:].upper() if base == 16 else \
                oct(int(num1, base) + int(num2, base))[2:] if base == 8 else \
                bin(int(num1, base) + int(num2, base))[2:] if base == 2 else \
@@ -21,7 +26,7 @@ def generate_question():
 
     # Generate incorrect answers
     while len(options) < 4:
-        invalid_answer = ''.join(random.choice('0123456789ABCDEF') for _ in range(4))
+        invalid_answer = ''.join(random.choice(digits) for _ in range(4))
         if invalid_answer != correct_answer:
             options.append(invalid_answer)
     

modules/conversion_bases.py

@@ -6,9 +6,14 @@ description = "This module covers conversion techniques between different bases,
 def generate_question():
     import random
 
+    # Choose a base and corresponding valid digits
     from_base = random.choice([2, 8, 10, 16])
     to_base = random.choice([2, 8, 10, 16])
-    number = ''.join(random.choice('0123456789ABCDEF') for _ in range(4))
+
+    digits = '01' if from_base == 2 else '01234567' if from_base == 8 else '0123456789' if from_base == 10 else '0123456789ABCDEF'
+
+    # Generate a valid number for the selected from_base
+    number = ''.join(random.choice(digits) for _ in range(4))
 
     def convert_number(number, from_base, to_base):
         # Convert from `from_base` to base 10
@@ -28,9 +33,10 @@ def generate_question():
 
     # Generate incorrect answers
     while len(options) < 4:
-        invalid_number = ''.join(random.choice('0123456789ABCDEF') for _ in range(4))
-        if invalid_number != correct_answer:
-            options.append(invalid_number)
+        invalid_number = ''.join(random.choice(digits) for _ in range(4))
+        invalid_answer = convert_number(invalid_number, from_base, to_base)
+        if invalid_answer != correct_answer:
+            options.append(invalid_answer)
     
     random.shuffle(options)
     

modules/valid_invalid_numbers.py

@@ -14,7 +14,10 @@ def generate_question():
     
     def generate_invalid_number():
         valid_digits = ''.join([str(random.randint(0, base - 1)) for _ in range(length - 1)])
-        invalid_digit = str(random.randint(base, 9))
+        if base < 10:
+            invalid_digit = str(random.randint(base, 9))  # For bases < 10, pick an invalid digit from [base, 9]
+        else:
+            invalid_digit = random.choice('ABCDEF')  # For bases >= 10, pick a hex digit to make it invalid
         return valid_digits + invalid_digit
 
     correct_answer = generate_invalid_number()