Sign up for Coinbase
Wire transfer money to your USD/EURO Wallet via "deposit"
Go to GDAX.com and connect your coinbase account
Click on ETH/USD and click "Deposit" and then "From Coinbase" and move your USD/EURO from coinbase to GDAX.com
Buy ETH (Etherium) from the ETH/USD dropdown using a LIMIT order
Select max from the USD/EURO input and open the order book
You will see a red and green stair step looking chart
Click just before the lowest red "stair step" rise
Click place order
Once your order is filled click "withdraw" and select "to ETH address"
Send ETH to your Bittrex.com (if they are accepting signups) or Binance.com wallet.
Wait around 2 hours for the transfer to succeed
(optional) send 0.01 ETH first to make sure you did everything correct.
Go to the ETH/ADA exchange on either exchange and buy ADA the same way as in GDAX, you want to place a LIMIT order just higher than the existing BID to avoid paying fees.
Once you get your ADA you can keep it in the exchange (not recommended) if you plan on day trading it. Otherwise, you want to move it to cold storage like the Ledger (coming early 2018) or into your Deadulus wallet so you can benefit from PoS(proof of stake).
Download the Deadulus Wallet and transfer your ADA from the exchange to your local wallet.
For more information about Cardano ADA visit, Official Cadano Project Website and Wallet Website here below:
https://www.cardanohub.org/en/home/
https://www.cardanohub.org/en/the-daedalus-wallet/
What is Cardano ADA? Should You Invest? ADA Review from Boxmining: