These are in no particular order, though, more recently added Exchanges are more likely to be at the top. Decentralized Exchanges are listed further down.

Exchanges

Bit-Z
November 2017
https://www.bit-z.com/trade/dgb_btc

KuCoin
November 2017
https://www.kucoin.com/#/trade/DGB-BTC

Alcurex
https://alcurex.com/#DGB-BTC

Bittrex

https://bittrex.com/Market/Index?MarketName=BTC-DGB
https://bittrex.com/Market/Index?MarketName=ETH-DGB

Bit-Z
https://www.bit-z.com/exchange/dgb_btc

BuyUcoin
September 2017
https://www.buyucoin.com/buy-digibyte-india
Also supports Fiat INR-DGB

CoinSpot
https://www.coinspot.com.au/buy/dgb
Fiat AUD-DGB

CoinSwitch
https://coinswitch.co/exchange/BTC/DGB
https://coinswitch.co/exchange/ETH/DGB

Changelly
https://changelly.com/exchange/BTC/DGB
https://changelly.com/exchange/ETH/DGB
https://changelly.com/exchange/USDT/DGB
December 2017
Also supports Fiat USDT-DGB

CryptoChange South Africa
Supports BTC-DGB, ETH-DGB
Also supports Fiat ZAR-DGB

Cryptopia
https://www.cryptopia.co.nz/Exchange?market=BTC_DGB

HitBTC
https://hitbtc.com/DGB-to-BTC
Also supports Fiat USDT-DGB

KuCoin
https://www.kucoin.com/#/trade.pro/DGB-BTC

LiteBit
Supports EUR-DGB

Nova Exchange
https://novaexchange.com/market/BTC_DGB/

Poloniex
https://poloniex.com/exchange#BTC_DGB

Trade Satoshi
https://tradesatoshi.com/Exchange?market=DGB_BTC
https://tradesatoshi.com/Exchange?market=DGB_USDT
Also supports USDT-DGB

UpBit
https://upbit.com/exchange?code=CRIX.UPBIT.BTC-DGB

YoBit
https://yobit.net/en/trade/DGB/BTC
https://yobit.net/en/trade/DGB/ETH
https://yobit.net/en/trade/DGB/USD
Also supports USDT-DGB

OKEX
https://www.okex.com/?forward=%2Fspot%2Ftrade%2Findex.do#symbol=dgb_btc

IAZO
https://iazo.io/Exchange/DGB

More being added 🙂

 

Decentralized Exchanges

BarterDex – Decentralized Exchange
November 2017

BlockNet – Decentralized Exchange

CryptoBridge

 

Exchanges supporting Fiat to DigiByte

Specific details coming shortly…