The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
x
0 votes
103 views
If N = 670 in base 9 system. Then find the radix complement of N.
in Digital Logic by (117 points)
retagged by | 103 views
+1
180 in base 10 or 220 in base 9
+1
Radix = R's compliment = 9

 8 8 8

-6 7 0

------------

2 1 8    in (R-1)'s compliment

----------

219 in (R)'s compliment but we can't represent 9 in base 9

So after 218 next number will come 220

So 218 + 1 = 220

220 is the final answer
0

How 220 in base 9? @SHUBHAM SHASTRI

+1
i done like this 670 is in base 9 ..so converted into base 10 = 549 .

Now 9s complement of 549 = 9^3-549 = 180 in base 10 or 220 in base 9
0
219 is the correct answer
0

@SHUBHAM SHASTRI

Why are you doing like this...

Simply find the R-1 compliment

Then give answer accordingly

Why are you changing base and all its too time taking

+2
Ok. I figured this out.

N = (670) base 9.

now, 9’s complement = 8’s complement + 1
8's complement = 888-670 = 218
9's complement = 218+1 = 219, but we cannot represent 9 in base 9 number system. Now 9 in base 9 is 10.
So, 220 is the answer
0
In 9's complement

largest number that can be displayed in 8's complement is 888

9's complement is (r-1)complement +1 = 889

now

889-670 = 219

9 can't be in base 9

so 220

Please log in or register to answer this question.

Related questions

+2 votes
2 answers
6
asked Dec 23, 2016 in Digital Logic by Vishwakarma Nilesh (181 points) | 247 views
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,376 questions
55,839 answers
192,571 comments
91,394 users