Alphamatics, JMO

Each of the alphabets represent a unique number between 0 to 9.
find them

Z E R O E S
  + O N E S
-----------
B I N A R Y

Answer:

Z = 1

B = 2

I = 0

E = 9

R = 8

Y = 6

These numbers can be arrived at on inspection right away.

So, 1 9 8 O 9 3

      + O N 9 3

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

    2 0 N A 8 6

O can have values of 4,5,7

4 is rules out since it leads to repetition of digits. 

if O is 5, then N = 4 and A = 0

if O is 7, then N = 6 and A = 4

So, digits are getting repeated in my solution.

1 9 8 5 9 3 

  + 5 4 9 3

------------------ 

2 0 4 0 8 6

1 9 8 7 9 3  

  + 7 6 9 3

------------------ 

2 0 6 4 8 6

Could some one check and suggest where I have gone wrong.