# Python Dictionary | Check if binary representations of two numbers are anagram

• Last Updated : 27 Jul, 2020

Given two numbers you are required to check whether they are anagrams of each other or not in binary representation.

Examples:

```Input : a = 8, b = 4
Output : Yes
Binary representations of both
numbers have same 0s and 1s.

Input : a = 4, b = 5
Output : No
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

We have existing solution for this problem please refer Check if binary representations of two numbers are anagram link. We can solve this problem quickly in python using Counter(iterable) method and Dictionary Comparison. Approach is simple,

1. Convert both number into it’s binary using bin() function.
2. Since binary representation of both numbers could differ in length so we will append zeros in start of shorter string to make both string of equal length. ie.; append zeros = abs(len(bin1)-len(bin2)).
3. Convert both output string containing 0 and 1 returned by bin function into dictionary using Counter() function, having 0 and 1 keys and their count as value. Compare both dictionaries, if value of 0’s and 1’s in both dictionaries are equal then binary representations of two numbers are anagram otherwise not.

 `# function to Check if binary representations``# of two numbers are anagram``from` `collections ``import` `Counter`` ` `def` `checkAnagram(num1,num2):`` ` `    ``# convert numbers into in binary``    ``# and remove first two characters of ``    ``# output string because bin function ``    ``# '0b' as prefix in output string``    ``bin1 ``=` `bin``(num1)[``2``:]``    ``bin2 ``=` `bin``(num2)[``2``:]`` ` `    ``# append zeros in shorter string``    ``zeros ``=` `abs``(``len``(bin1)``-``len``(bin2))``    ``if` `(``len``(bin1)>``len``(bin2)):``         ``bin2 ``=` `zeros ``*` `'0'` `+` `bin2``    ``else``:``         ``bin1 ``=` `zeros ``*` `'0'` `+` `bin1`` ` `    ``# convert binary representations ``    ``# into dictionary``    ``dict1 ``=` `Counter(bin1)``    ``dict2 ``=` `Counter(bin2)`` ` `    ``# compare both dictionaries``    ``if` `dict1 ``=``=` `dict2:``         ``print``(``'Yes'``)``    ``else``:``         ``print``(``'No'``)`` ` `# Driver program``if` `__name__ ``=``=` `"__main__"``:``    ``num1 ``=` `8``    ``num2 ``=` `4``    ``checkAnagram(num1,num2)``    `

Output:

```Yes
```

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