search
Log In
0 votes
273 views
If N = 670 in base 9 system. Then find the radix complement of N.
in Digital Logic
retagged by
273 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
1 answer
1
1 vote
1 answer
2
459 views
A decimal number has $25$ digits. The number of bits required for its equivalent binary representation is approximately?? according to me I got $83$ but answer given Virtual gate is $75 $please check??? I am right or wrong
asked Oct 5, 2016 in Digital Logic Hradesh patel 459 views
1 vote
1 answer
3
253 views
Consider the (decimal) number $182$, whose binary representation is $10110110$. How many positive integers are there in the following set?$\{n\in \mathbb{N}: n\leq 182 \text{ and n has } \textit{exactly four} \text{ ones in its binary representation}\}$ $91$ $70$ $54$ $35$ $27$
asked Feb 11 in Digital Logic Lakshman Patel RJIT 253 views
0 votes
0 answers
4
...