Ambigiuous Question

Replies

• 

  Dancer_Engineer

  (C) is the correct answer.
  
  Explanation:
  33 in binary code is 100001
  11 in binary code is 1011
  Let's perform the division of 100001 by 1011
  
  Binary Division:
  ..........________
  1011 ) 100001 ( 11
  .............1011
  ...........______
  .............01011
  ...............1011
  ...........______
  ...............0000
  
  Here we get quotient as 11 which is 3 in decimal and 0000 as the remainder.
  So 33 / 11 = 3 both in decimal and binary.
• 

  Dancer_Engineer

  simplycoder

  But then can base 2 have '3' as its symbol? and even if it has, would the arithmatic be the same and valid as in base 2. First of all can 3 be a part of binary system as a symbol.
  
  What are your views on this?

  I don't think 3 can be part of binary system, it can be represented in binary code.
• 

  silverscorpion

  33/11 is 3 in any number system, if we convert them to that system first.
  
  33 in base 5 is 113, and
  11 in base 5 is 21
  
  115/21 in base 5 will be
  
  

  _____​

  21) 113 ( 3
  

  113​

  _____​

  0​

  
  So, regardless of what base we use, it will always hold true. But the question does not ask that, I think. If anything, it might be a mistake and the choice should have been some other number instead of 2.. like 6 or 7, for example. In that case, we should convert both 33 and 11 to the appropriate base and see if it is indeed correct.