The Constructor Arguments are automatically appended to the end of the contract source bytecode when the contract is compiled by Solidity.
These are a few examples of contracts with Constructor Arguments:
When verifying the contract source code at Etherscan we require that you also provide us with the Constructor Arguments (if the contract required these) used when deploying your Ethereum Smart contract. We will use this information to perform a blockchain search to see if it matches with the existing bytecodes. The Constructor argument should be provided in ABI hex encoded form (see https://github.com/ethereum/wiki/wiki/Ethereum-Contract-ABI for additional information)
An example of a constructor argument in abi encoded form will look like the below:
Which when decoded would be
Arg  : 00000000000000000000000033daedabab9085bd1a94460a652e7ffff592dfe3 Arg  : 000000000000000000000000fec8bb460c2501b8c1d4801f34b4408c1fbbccb1
Another quick and dirty way of figuring out what your constructor arguments are is to compare both the browser solidity / remix compiled byte code and compare this with the input creation byte code. If you look carefully you will notice that the additional hex codes attached at the END of the input created byte code. This is your 'Constructor Arguments'