Updates

modules/number_system/twos_complement.py

@@ -2,40 +2,34 @@ import random
 import sympy as sp
 
 title = "2's Complement Questions"
-description = "This module explains the 2's complement method for representing negative numbers. The number of bits used for 2's complement calculations can vary."
+description = "This module explains the 2's complement method for representing negative numbers."
 
-def generate_question(num_bits):
-    # Ensure num_bits is a positive integer
-    if num_bits <= 0:
-        raise ValueError("Number of bits must be a positive integer.")
-    
-    # Generate a random binary number with the given number of bits
-    number = ''.join(random.choice('01') for _ in range(num_bits))
+def generate_question():
+    # Choose a random bit length from 4, 5, 6, and 8 bits
+    bit_lengths = [4, 5, 6, 8]
+    bit_length = random.choice(bit_lengths)
+
+    # Generate a random binary number of the selected bit length
+    number = ''.join(random.choice('01') for _ in range(bit_length))
 
     def calculate_twos_complement(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:]
-        twos_complement = twos_complement.zfill(num_bits)
-        
+        twos_complement = twos_complement.zfill(len(number))
         return ones_complement, twos_complement
 
     ones_complement, correct_answer = calculate_twos_complement(number)
     options = [correct_answer]
 
-    # Generate incorrect answers
     while len(options) < 4:
-        invalid_number = ''.join(random.choice('01') for _ in range(num_bits))
+        invalid_number = ''.join(random.choice('01') for _ in range(bit_length))
         if invalid_number != correct_answer:
             options.append(invalid_number)
     
     random.shuffle(options)
     
-    question = f"What is the 2's complement of the binary number {number} (using {num_bits} bits)?"
-    
-    # Generate a step-by-step solution using SymPy
+    question = f"What is the 2's complement of the binary number {number}?"
+
     num_expr = sp.sympify(f'0b{number}')
     ones_expr = sp.sympify(f'0b{ones_complement}')
     twos_expr = ones_expr + 1
@@ -44,11 +38,11 @@ def generate_question(num_bits):
         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(num_bits)}",
+        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. Note that this calculation is performed using {num_bits} bits."
+    explanation = f"The 2's complement of {number} is {correct_answer}. It is calculated by inverting the bits and adding 1."
 
     return {
         "question": question,
@@ -57,19 +51,3 @@ def generate_question(num_bits):
         "explanation": explanation,
         "step_by_step_solution": step_by_step_solution
     }
-
-# Example usage
-num_bits_list = [4, 8, 16]
-questions = {num_bits: generate_question(num_bits) for num_bits in num_bits_list}
-
-# Display the generated questions and their descriptions
-for num_bits, q in questions.items():
-    print(f"Number of bits: {num_bits}")
-    print("Question:", q["question"])
-    print("Options:", q["options"])
-    print("Correct Answer:", q["correct_answer"])
-    print("Explanation:", q["explanation"])
-    print("Step-by-Step Solution:")
-    for step in q["step_by_step_solution"]:
-        print(step)
-    print("\n" + "-"*40 + "\n")