Convert octal to hex, w/out converting to Binaryby dk702 Tags: binary, convert, converting, octal, w or out 

#1
Aug2504, 08:11 PM

P: 6

I have been trying to convert a from octal to hex and hex to octal without using binary. I believe the method is called repeated divison.
Example of problem I am trying to solve, Convert 173 octal(123 dec) to hex 173 oct / 16 oct = 10 oct remainder 13 oct 10 oct / 16 oct = 0 oct remainder 10 oct Reading up (1st division remainder is less sig. digit, and last is most sig.) answer 1013 hex = 4115 dec. WRONG answer should be 7B Hex 



#2
Aug2604, 09:06 AM

HW Helper
Thanks
P: 9,834

123=7*16 +11 which is 7B in hexadecimal form. The conversion is possible also without using decimal form. Working in the "hexadecimal word" 8=10/2 173 (oct) = 3+7*8+1*8*8 =3+7*10/2+1*10/2*10/2= =3+(6*10/2+10/2) + 10/2*8= =3+(3*10+8)+(4*10)=(3+4)*10+(3+8)=7*10 + B = 7B (It is similar backwards. You know that the base of the hexadecimal numbers is 20 in your octal system. If you have 173(hex), for example, it is 3+7*20+1*20^2=3+(7*2)*10+4*100= 3+(10+6)*10+4*100=3+6*10+5*100=563.) ehild 



#3
Aug2604, 09:47 AM

P: 499

173 oct / 20 oct = 7 oct remainder 13 oct (B hex) 7 oct / 20 oct = 0 oct remainder 7 Reading up (1st division remainder is less sig. digit, and last is most sig.) answer 7B hex 


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