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December 15, 2016 23:49
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Encode numbers with a negative base (python 2 or 3)
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from __future__ import print_function | |
def EncodeNegBase(n, b): #Converts from decimal | |
if n == 0: | |
return "0" | |
out = [] | |
while n != 0: | |
n, rem = divmod(n, b) | |
if rem < 0: | |
n += 1 | |
rem -= b | |
out.append(rem) | |
return "".join(map(str, out[::-1])) | |
def DecodeNegBase(nstr, b): #Converts to decimal | |
if nstr == "0": | |
return 0 | |
total = 0 | |
for i, ch in enumerate(nstr[::-1]): | |
total += int(ch) * b**i | |
return total | |
if __name__=="__main__": | |
print ("Encode 10 as negabinary (expect 11110)") | |
result = EncodeNegBase(10, -2) | |
print (result) | |
if DecodeNegBase(result, -2) == 10: print ("Converted back to decimal") | |
else: print ("Error converting back to decimal") | |
print ("Encode 146 as negaternary (expect 21102)") | |
result = EncodeNegBase(146, -3) | |
print (result) | |
if DecodeNegBase(result, -3) == 146: print ("Converted back to decimal") | |
else: print ("Error converting back to decimal") | |
print ("Encode 15 as negadecimal (expect 195)") | |
result = EncodeNegBase(15, -10) | |
print (result) | |
if DecodeNegBase(result, -10) == 15: print ("Converted back to decimal") | |
else: print ("Error converting back to decimal") | |
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