You can purchase BAT on most high-liquidity exchanges using fiat currency (like USD or EUR) or other cryptocurrencies:
Basic Attention Token (BAT) can be purchased on several major cryptocurrency exchanges and through digital wallets. If you are looking to practice without real money, many of these platforms also offer (simulated trading) environments. Where to Buy BAT buy bat token
Buy Basic Attention Token - The guide to buying BAT today. - Kraken You can purchase BAT on most high-liquidity exchanges