Question

Language is Python

Question 1: Octoquadragesimal Conversion (6 points) There are many exotic base systems in the world, one of which is Octoquadragesimal, which is based on the number 48. The Octoquadragesimal digits are as follows: 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f,g, h,i,j,k,1,m,n,o,p,q,r.s,t,u,v,w.x,y,z,A,B,C,D,E,F,G,H,1,J,KL Write two functions, Octoquadragesimal2Binary(x) and Binary2Octoquadragesimal(x), which convert from Octoquadragesimal to Binary, and from Binary to Octoquadragesimal respectively. The input x is a string in both cases, and the outputs of these functions should be strings of binary or octoquadragesimal numbers respectively. Inputs will not include any characters to indicate the base system in front and neither should the outputs. Use big- endian notation. NOTE: While this can be accomplished by if-statements, there is a better way that is far less tedious. (The prof's solutions are 9 and 8 lines of code respectively, including the function definitions ^_^) NOTE 2: It's totally OK to have numbers inside your function that are niether Binary nor Octoquadragesimal. NOTE 3: If either of the above functions receives an empty string as input, an empty string should be output.

Answer 1

def Octoquadragesimal2Binary(s):
res=0
for i in range(len(s)-1,-1,-1):
res+=(int(s[i]))*(48**(len(s)-1-i)) if s[i]>='0' and s[i]<='9' else (ord(s[i])-97+10)*(48**(len(s)-1-i)) if s[i]>='a' and s[i]<='z' else (ord(s[i])-65+36)*(48**(len(s)-1-i))
return '' if s.strip()=='' else bin(res)[2:]

def Binary2Octoquadragesimal(s):
if s.strip()=='':return ''
res=int(s,2)
toret=''
while res!=0:
rem=res%48
res=res//48
toret=(str(rem) if rem>=0 and rem<=9 else chr(rem+97-10) if rem>=10 and rem<=36 else chr(rem+65-36))+toret
return toret

Octoquadragesimal2Binary("Hamster")
Binary2Octoquadragesimal('111101100010010000001100100011110111011')

print(Octoquadragesimal2Binary("1md32020") == "1100100000011100011001100110000001100000")
print(Binary2Octoquadragesimal("1100100000011100011001100110000001100000") == "1md32020")

print(Octoquadragesimal2Binary("Dragonfly2026") == "1010000001101101011000000100000001000101111010000101101010110000001100110")
print(Binary2Octoquadragesimal("1010000001101101011000000100000001000101111010000101101010110000001100110") == "Dragonfly2026")

indentation reference:

In [44]: def Octoquadragesimal2Binary(s): res=0 for i in range(len(s)-1,-1,-1): res+=(int (s[i]))*(48**(len(s)-1-i)) if s[i]>='0' and s[i]<='9' else (ord(s[i])-97+10)*(48**(len(s)-1-i)) if return "if s.strip()=='' else bin(res) [2:] In [45]: def Binary2octoquadragesimal(s): if s.strip()=='':return res=int(5,2) toret=' while res!=0: rem=res%48 res=res//48 toret=(str(rem) if rem>=0 and rem<=9 else chr(rem+97-10) if rem>=10 and rem<=36 else chr(rem+65-36))+toret return toret

Sample i/o:

Explanation:

In [46] : Octoquadragesimal 2Binary("Hamster") Binary20ctoquadragesimal('111101100010010000001100100011110111011') print (Octoquadragesimal 2Binary("Imd32020") == "1100100000011100011001100110000001100000") print(Binary20ctoquadragesimal("1100100000011100011001100110000001100000") == "Imd32020") print (Octoquadragesimal 2Binary("Dragonfly2026") == "1010000001101101011000000100000001000101111010000101101010110000 print (Binary20ctoquadragesimal("1010000001101101011000000100000001000101111010000101101010110000001100110") == "Drag True True True True

The sample i/o, code and indentation reference is provided for your understanding and execution of the code. The code is executed in Jupiter notebook of python3 version.

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