Zilliqa (ZIL) price, performance and general information

I have not look at any of my crypto accounts quite some time and we surprised to see several things. One of them being the token swap from the erc 20 token to the Zil. All of my zilliqa have been on Binance the whole time so do I still need to swap them or did they get done automatically because they've been on an exchange that was working with you in swapping tokens?

Maybe this is a silly question, but I haven't yet moved my Zilliqa tokens to Binance (or another exchange like that), only from exchange to My ether wallet. On Binance, I'm getting a note under the Zilliqa deposit section that says "This is the mainnet Zilliqa address. If you need to deposit ERC20 Zilliqa tokens, please send to your existing ETH deposit address"

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So just to clarify, I should enter in my Binance ETH address address, NOT my Zilliqa address, into My Ether Wallet if I wanted to send my Zilliqa to Binance? Just want to make sure I dont lose my tokens lol.

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Thanks