Files
mathgenerator/mathgenerator/funcs/base_conversion.py
2020-10-21 14:25:54 -04:00

51 lines
1.6 KiB
Python

from .__init__ import *
# base from 2 to 36
alpha = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ"
def fromBaseTenTo(n, toBase):
assert type(toBase) == int and toBase >= 2 and toBase <= 36, "toBase({}) must be >=2 and <=36"
# trivial cases
if toBase == 2:
return bin(n)[2:]
elif toBase == 8:
return oct(n)[2:]
elif toBase == 10:
return str(n)
elif toBase == 16:
return hex(n)[2:].upper()
res = alpha[n % toBase]
n = n//toBase
while n > 0:
res = alpha[n % toBase] + res
n = n//toBase
return res
# Useful to check answers, but not needed here
# def toBaseTen(n,fromBase):
# return int(n,fromBase)
def baseConversionFunc(maxNum=60000, maxBase=16):
assert type(
maxNum) == int and maxNum >= 100 and maxNum <= 65536, "maxNum({}) must be >=100 and <=65536".format(maxNum)
assert type(
maxBase) == int and maxBase >= 2 and maxBase <= 36, "maxBase({}) must be >= 2 and <=36".format(maxBase)
n = random.randint(40, maxNum)
dist = [10]*10+[2]*5+[16]*5+[i for i in range(2, maxBase+1)]
# set this way since converting to/from bases 2,10,16 are more common -- can be changed if needed.
bases = random.choices(dist, k=2)
while bases[0] == bases[1]:
bases = random.choices(dist, k=2)
problem = "Convert {} from base {} to base {}.".format(
fromBaseTenTo(n, bases[0]), bases[0], bases[1])
ans = fromBaseTenTo(n, bases[1])
return problem, ans
base_conversion = Generator("Base Conversion", 94, "Convert 152346 from base 8 to base 10.", "54502",
baseConversionFunc)