The 1inch token is used as a governance token for the 1inch network, which is a decentralized exchange (DEX) aggregator that connects multiple DEXes into one platform, and allows its users to find the most efficient swapping routes across all platforms. 1inch allows traders to source the best liquidity options and rates from different exchanges without having to check them manually.
1inch was founded by Sergej Kunz and Anton Bukov, and was launched in 2020. It is backed by several influential investors, including Binance Labs, Galaxy Digital, Greenfield One, Libertus Capital, and Dragonfly Capital. The network is governed by a decentralized autonomous organization (DAO).

0x is a decentralized exchange built on the Ethereum blockchain that allows for ERC20 tokens to be traded. 0x hopes to serve as a building block for creating decentralized exchanges.
It is an open-source system of smart contracts that acts as a platform for those wanting to build with the 0x protocol. Augur, Aragon and several other projects are using 0x, at the moment.
The 0x protocol addresses some of the common issues that plague other decentralized exchanges. 0x is faster, more liquid, and less expensive to run. Its speed is due to reduced blockchain congestion. This is achieved by moving all transactions off of the blockchain and then verifying them. This move, also allows for the elimination of transaction fees by reducing the reliance on the blockchain. 0x doesn’t charge fees of any type to use the protocol. However, Relayers that create their own decentralized exchange can charge fees.
The 0x Project uses the 0x Ethereum token, known as ZRX, that allows users to pay Relayers’ transaction fees. It is also a decentralized form of governance for the 0x protocol system. Anyone holding ZRX can give input about improving the protocol.