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What's the fee for transferring NEO from one of your addresses to another one of your addresses. For instance if i send 1 neo to myself without having any GAS will the transaction go through?

I think that should be free (I've not done but I believe I'm right).

the fee to move NEO From bittrex to the NEON Wallet was .1 Neo which I didn't understand; since bittrex won't send a 'fraction' of NEO Which I wish I would've known before I bought what I bought initially

I paided a fee of .025 NEO when transferring from My Bittrex account to my Windows wallet. Make sure that the net NEO after the fee is a whole number though!! i.e. 30.025NEO

I payed it too. Bittrex's fee is 0.025. So, If you want to transfer it, make sure you add 0.025 to your NEO balance to not lose coins.

If I send 2 NEO from a Binance account and pay in fees in BNB, will it send the full 2 NEO?