Binance will support the main token swap on June 1st from ERC20 EOS tokens to real EOS tokens, but that's a separate thing from the eosDAC airdrop on April 15th. For that, you need to be in your own wallet, not an exchange (unless that exchange officially announces it will support the eosDAC airdrop). Binance has not, to my knowledge, announced they will support the eosDAC airdrop.