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Number Systems

 
 
RK4
 
Reply Thu 8 Sep, 2005 06:40 pm
(1).

Find (352)_6 * (241)_6

That is, multiply 352 with 241, where both these numbers are in base 6.

The answer must be in terms of base 6 as well, as is obvious.

(2).

Find integers q and r such that (35024)_6 = (241)_6 * q + r and
0 <= r < (241)_6
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Type: Discussion • Score: 1 • Views: 472 • Replies: 6
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JamesMorrison
 
  1  
Reply Thu 8 Sep, 2005 08:11 pm
For problem #1:

Why not do the operation in base 10 and convert the result to base 6?


JM
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RK4
 
  1  
Reply Thu 8 Sep, 2005 08:18 pm
Yeah, that can be done but we're not supposed to do that here.
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DrewDad
 
  1  
Reply Thu 8 Sep, 2005 08:21 pm
That would work for both problems.

But don't forget to convert to base 10 first, then perform your operations, then convert back to base six.

Another approach on problem 1 would be to write out the multiplication table in base 6.

1x1=1, 1x2=2, etc.
2x1=1, 2x2=4, 2x3=10, 2x4=12, 2x5=14
3x1=1, 3x2=10, 3x3=13, 3x4=20, 3x5=23
etc.
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RK4
 
  1  
Reply Thu 8 Sep, 2005 08:41 pm
Thanks all!
0 Replies
 
raprap
 
  1  
Reply Thu 8 Sep, 2005 09:29 pm
142512

101

Rap
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RK4
 
  1  
Reply Thu 15 Sep, 2005 01:11 am
Thanks guys! Appreciate it!
0 Replies
 
 

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