Updates

modules/subtraction_bases.py

@@ -1,44 +1,57 @@
-# modules/subtraction_bases.py
+import random
 
 title = "Subtraction in Bases"
-description = "This module focuses on subtraction operations in binary using the 2's complement method."
+description = "This module covers subtraction operations in various bases, such as binary, octal, decimal, and hexadecimal."
 
-def generate_question():
-    import random
-
-    base = random.choice([2, 8, 16])
-    num1 = ''.join(random.choice('0123456789ABCDEF') for _ in range(3))
-    num2 = ''.join(random.choice('0123456789ABCDEF') for _ in range(3))
+def generate_valid_number(base, length):
+    if base == 16:
+        return ''.join(random.choices('0123456789ABCDEF', k=length))
+    elif base == 10:
+        return ''.join(random.choices('0123456789', k=length))
+    elif base == 8:
+        return ''.join(random.choices('01234567', k=length))
+    elif base == 2:
+        return ''.join(random.choices('01', k=length))
+    else:
+        raise ValueError("Unsupported base")
 
-    def subtract_numbers(num1, num2, 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 \
-               str(int(num1) - int(num2))
+def subtract_numbers(num1, num2, base):
+    return bin(int(num1, base) - int(num2, base))[2:] if base == 2 else \
+           oct(int(num1, base) - int(num2, base))[2:] if base == 8 else \
+           str(int(num1, base) - int(num2, base)) if base == 10 else \
+           hex(int(num1, base) - int(num2, base))[2:].upper()
 
+def generate_question():
+    base = random.choice([2, 8, 10, 16])
+    length = random.randint(3, 5)
+    
+    num1 = generate_valid_number(base, length)
+    num2 = generate_valid_number(base, length)
+    
     correct_answer = subtract_numbers(num1, num2, base)
     options = [correct_answer]
-
-    # Generate incorrect answers
+    
+    # Generate other random options
     while len(options) < 4:
-        invalid_answer = ''.join(random.choice('0123456789ABCDEF') for _ in range(4))
-        if invalid_answer != correct_answer:
-            options.append(invalid_answer)
+        fake_answer = subtract_numbers(generate_valid_number(base, length), generate_valid_number(base, length), base)
+        if fake_answer not in options:
+            options.append(fake_answer)
     
     random.shuffle(options)
     
-    question = f"Subtract the number {num2} from {num1} in base {base}."
-    explanation = f"The result of subtracting {num2} from {num1} in base {base} is {correct_answer}."
+    question = f"What is the result of subtracting {num2} from {num1} in base {base}?"
+    explanation = f"To subtract {num2} from {num1} in base {base}, convert both numbers to base 10, perform the subtraction, and convert the result back to base {base}."
     step_by_step_solution = [
-        f"Step 1: Convert the numbers {num1} and {num2} to base 10.",
-        "Step 2: Subtract the numbers in base 10.",
-        f"Step 3: Convert the result back to base {base}."
+        f"1. Convert {num1} and {num2} to base 10.",
+        f"2. Subtract the base 10 equivalents.",
+        f"3. Convert the result back to base {base}.",
+        f"The correct answer is {correct_answer}."
     ]
     
     return {
-        "question": question,
-        "options": options,
-        "correct_answer": correct_answer,
-        "explanation": explanation,
-        "step_by_step_solution": step_by_step_solution
+        'question': question,
+        'options': options,
+        'correct_answer': correct_answer,
+        'explanation': explanation,
+        'step_by_step_solution': step_by_step_solution
     }