Updates

modules/twos_complement.py

@@ -1,20 +1,23 @@
-# modules/twos_complement.py
+import random
+import sympy as sp
 
 title = "2's Complement Questions"
 description = "This module explains the 2's complement method for representing negative numbers."
 
 def generate_question():
-    import random
-
     number = ''.join(random.choice('01') for _ in range(8))
 
     def calculate_twos_complement(number):
-        n = len(number)
+        # Calculate 1's complement
         ones_complement = ''.join('1' if bit == '0' else '0' for bit in number)
+        
+        # Calculate 2's complement
         twos_complement = bin(int(ones_complement, 2) + 1)[2:]
-        return twos_complement.zfill(n)
+        twos_complement = twos_complement.zfill(len(number))
+        
+        return ones_complement, twos_complement
 
-    correct_answer = calculate_twos_complement(number)
+    ones_complement, correct_answer = calculate_twos_complement(number)
     options = [correct_answer]
 
     # Generate incorrect answers
@@ -26,12 +29,22 @@ def generate_question():
     random.shuffle(options)
     
     question = f"What is the 2's complement of the binary number {number}?"
-    explanation = f"The 2's complement of {number} is {correct_answer}."
+    
+    # Generate a step-by-step solution using SymPy
+    num_expr = sp.sympify(f'0b{number}')
+    ones_expr = sp.sympify(f'0b{ones_complement}')
+    twos_expr = ones_expr + 1
+
     step_by_step_solution = [
-        "Step 1: Find the 1's complement by flipping all bits.",
-        "Step 2: Add 1 to the 1's complement to get the 2's complement."
+        f"Step 1: Start with the original binary number: {number}",
+        f"Step 2: Find the 1's complement by flipping all bits: {ones_complement}",
+        f"Step 3: Add 1 to the 1's complement:",
+        f"        {ones_complement} + 1 = {bin(twos_expr)[2:].zfill(len(number))}",
+        f"Step 4: The 2's complement of {number} is {correct_answer}."
     ]
     
+    explanation = f"The 2's complement of {number} is {correct_answer}. It is calculated by inverting the bits and adding 1."
+
     return {
         "question": question,
         "options": options,

requirements.txt

@@ -1,3 +1,4 @@
 streamlit
 huggingface_hub
-fpdf
+fpdf
+sympy