What I know is Bittrex needs a verified account to withdraw our coins but what about Binance exchange?
Now I got one account whether I can use this account without verification?
As long as you do not exceed 2 BTC for 24 hr withdrawal limit then you do not need to verify. I am unverified in Binance too and I already withdraw a couple of times successfully. If you want to withdraw a higher amount then you can submit your documents for verification. If you are approved for Level 2 then you can withdraw up to 100 BTC for 24 hr limit and if you want to withdraw a higher amount then you can contact their support for higher limit. It's good that they still allow withdrawal without verification and it is their edge compared to Bittrex.