edited by
585 views
1 votes
1 votes
consider the number:

   5324+2342=(7666) of base r

what is the value of r:

a.8

b.10

c.16

d.>=8
edited by

3 Answers

1 votes
1 votes
Let's check one by one option,

${\color{Blue} {(a)}}$   r=8,when we add LSB bits of both (4+4=8) should be zero and one carry but at RHS, LSB bit is 6 .so option a is wrong.

${\color{blue}{(b)}}$   r=10,it is simply when we add LSB bits of both then answer should be 8 but at RHS, LSB bit is 6 so option B is also wrong.

${\color{blue}{(c)}}$. r=16,in this also when we will add LSB bits then LSB bit will be 8,same reason as above option ,,so this is also wrong.

${\color{blue}{(D)}}$,  when at r=8,10,16 is not satisfied then r>=8 is also false (only one condition is enough to make false)

So none of these option is true.
0 votes
0 votes
r must be greater than 7

(5324)base r +(2324) base r=(7666) base r

(5*r^3+3*r^2+2*r+4)+(2*r^3+3*r^2+2*r+4)=(7*r^3+6*r^2+6r+6)

2r=2

r=1(rejected)

hence no value of r for which it is satisfied
0 votes
0 votes
I am not getting whats wrong with u people

Its direct base 10  ..

Related questions

0 votes
0 votes
1 answer
1
1 votes
1 votes
1 answer
2
saurabh rai asked Jan 17, 2018
1,114 views
What will be base-3 equivalent of decimal number 56.4
3 votes
3 votes
1 answer
3
Lakshman Bhaiya asked Jan 5, 2018
1,641 views
The r ’s complement of an n-digit decimal number N in base r is defined for all values of N except for N = 0. If the given number is (247)9, then its 9’s complement w...
2 votes
2 votes
1 answer
4
Sourajit25 asked Oct 23, 2017
1,021 views
Consider the number given in the base '12' system is (-1457)12 then the number of 1's in the 2's complement binary representation of that number is ______?The answer is 9...