Sina Media Lab
commited on
Commit
·
40d3dfc
1
Parent(s):
5f6edac
Updates
Browse files
modules/number_system/grouping_techniques.py
CHANGED
@@ -10,20 +10,25 @@ def generate_question():
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from_base = random.choice([2, 8, 16])
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to_base = 8 if from_base == 2 else 2 if from_base == 8 else 2
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if from_base == 2:
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# Generate a random binary number, optionally with a fractional part
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number = ''.join(random.choice('01') for _ in range(random.randint(4, 8)))
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if random.choice([True, False]):
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number += '.' + ''.join(random.choice('01') for _ in range(random.randint(1, 4)))
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elif from_base == 8:
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# Generate a random octal number, optionally with a fractional part
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number = ''.join(random.choice('01234567') for _ in range(random.randint(2, 4)))
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if random.choice([True, False]):
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number += '.' + ''.join(random.choice('01234567') for _ in range(random.randint(1, 3)))
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elif from_base == 16:
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# Generate a random hexadecimal number, optionally with a fractional part
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number = ''.join(random.choice('0123456789ABCDEF') for _ in range(random.randint(2, 4)))
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if random.choice([True, False]):
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number += '.' + ''.join(random.choice('0123456789ABCDEF') for _ in range(random.randint(1, 3)))
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def group_conversion(number, from_base, to_base):
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@@ -33,7 +38,7 @@ def generate_question():
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integer_result = oct(int(integer_part, 2))[2:]
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if fraction_part:
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fraction_result = ''.join([oct(int(f'{fraction_part[0][i:i+3]:0<3}', 2))[2:] for i in range(0, len(fraction_part[0]), 3)])
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-
return f"{integer_result}.{fraction_result}"
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return integer_result
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elif from_base == 2 and to_base == 16:
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# Convert binary to hexadecimal
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@@ -41,7 +46,7 @@ def generate_question():
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integer_result = hex(int(integer_part, 2))[2:].upper()
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if fraction_part:
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fraction_result = ''.join([hex(int(f'{fraction_part[0][i:i+4]:0<4}', 2))[2:].upper() for i in range(0, len(fraction_part[0]), 4)])
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-
return f"{integer_result}.{fraction_result}"
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return integer_result
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elif from_base == 8 and to_base == 2:
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# Convert octal to binary
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@@ -49,7 +54,7 @@ def generate_question():
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integer_result = ''.join([bin(int(digit, 8))[2:].zfill(3) for digit in integer_part])
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if fraction_part:
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fraction_result = ''.join([bin(int(digit, 8))[2:].zfill(3) for digit in fraction_part[0]])
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-
return f"{integer_result}.{fraction_result}"
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return integer_result
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elif from_base == 16 and to_base == 2:
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# Convert hexadecimal to binary
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@@ -57,7 +62,7 @@ def generate_question():
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integer_result = ''.join([bin(int(digit, 16))[2:].zfill(4) for digit in integer_part])
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if fraction_part:
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fraction_result = ''.join([bin(int(digit, 16))[2:].zfill(4) for digit in fraction_part[0]])
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-
return f"{integer_result}.{fraction_result}"
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return integer_result
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correct_answer = group_conversion(number, from_base, to_base)
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@@ -67,10 +72,16 @@ def generate_question():
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while len(options) < 4:
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if from_base == 2:
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invalid_number = ''.join(random.choice('01') for _ in range(len(number.replace('.', ''))))
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elif from_base == 8:
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invalid_number = ''.join(random.choice('01234567') for _ in range(len(number.replace('.', ''))))
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elif from_base == 16:
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invalid_number = ''.join(random.choice('0123456789ABCDEF') for _ in range(len(number.replace('.', ''))))
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# Generate the corresponding incorrect conversion
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invalid_converted_number = group_conversion(invalid_number, from_base, to_base)
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from_base = random.choice([2, 8, 16])
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to_base = 8 if from_base == 2 else 2 if from_base == 8 else 2
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has_fraction = False # Track if the number includes a fraction
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if from_base == 2:
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# Generate a random binary number, optionally with a fractional part
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number = ''.join(random.choice('01') for _ in range(random.randint(4, 8)))
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if random.choice([True, False]):
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has_fraction = True
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number += '.' + ''.join(random.choice('01') for _ in range(random.randint(1, 4)))
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elif from_base == 8:
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# Generate a random octal number, optionally with a fractional part
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number = ''.join(random.choice('01234567') for _ in range(random.randint(2, 4)))
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if random.choice([True, False]):
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has_fraction = True
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number += '.' + ''.join(random.choice('01234567') for _ in range(random.randint(1, 3)))
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elif from_base == 16:
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# Generate a random hexadecimal number, optionally with a fractional part
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number = ''.join(random.choice('0123456789ABCDEF') for _ in range(random.randint(2, 4)))
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if random.choice([True, False]):
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has_fraction = True
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number += '.' + ''.join(random.choice('0123456789ABCDEF') for _ in range(random.randint(1, 3)))
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def group_conversion(number, from_base, to_base):
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integer_result = oct(int(integer_part, 2))[2:]
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if fraction_part:
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fraction_result = ''.join([oct(int(f'{fraction_part[0][i:i+3]:0<3}', 2))[2:] for i in range(0, len(fraction_part[0]), 3)])
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return f"{integer_result}.{fraction_result}" if has_fraction else integer_result
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return integer_result
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elif from_base == 2 and to_base == 16:
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# Convert binary to hexadecimal
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integer_result = hex(int(integer_part, 2))[2:].upper()
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if fraction_part:
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fraction_result = ''.join([hex(int(f'{fraction_part[0][i:i+4]:0<4}', 2))[2:].upper() for i in range(0, len(fraction_part[0]), 4)])
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return f"{integer_result}.{fraction_result}" if has_fraction else integer_result
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return integer_result
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elif from_base == 8 and to_base == 2:
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# Convert octal to binary
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integer_result = ''.join([bin(int(digit, 8))[2:].zfill(3) for digit in integer_part])
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if fraction_part:
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fraction_result = ''.join([bin(int(digit, 8))[2:].zfill(3) for digit in fraction_part[0]])
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return f"{integer_result}.{fraction_result}" if has_fraction else integer_result
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return integer_result
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elif from_base == 16 and to_base == 2:
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# Convert hexadecimal to binary
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integer_result = ''.join([bin(int(digit, 16))[2:].zfill(4) for digit in integer_part])
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if fraction_part:
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fraction_result = ''.join([bin(int(digit, 16))[2:].zfill(4) for digit in fraction_part[0]])
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return f"{integer_result}.{fraction_result}" if has_fraction else integer_result
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return integer_result
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correct_answer = group_conversion(number, from_base, to_base)
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while len(options) < 4:
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if from_base == 2:
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invalid_number = ''.join(random.choice('01') for _ in range(len(number.replace('.', ''))))
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if has_fraction:
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invalid_number += '.' + ''.join(random.choice('01') for _ in range(len(number.split('.')[1])))
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elif from_base == 8:
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invalid_number = ''.join(random.choice('01234567') for _ in range(len(number.replace('.', ''))))
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if has_fraction:
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invalid_number += '.' + ''.join(random.choice('01234567') for _ in range(len(number.split('.')[1])))
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elif from_base == 16:
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invalid_number = ''.join(random.choice('0123456789ABCDEF') for _ in range(len(number.replace('.', ''))))
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if has_fraction:
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invalid_number += '.' + ''.join(random.choice('0123456789ABCDEF') for _ in range(len(number.split('.')[1])))
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# Generate the corresponding incorrect conversion
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invalid_converted_number = group_conversion(invalid_number, from_base, to_base)
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