Time taken to check all keys of encryption algorithms -
I am studying the encryption algorithm and was thinking that all keys need to be checked for the following implementation: AES, DES, AES, DES, 3DES
For DES I know that the key sizes are 56 bits, so 2 ^ 56 possible keys are similar to 3DS, to consider 112 bit key sizes, what exactly is 2 ^ 112 possible What are the keys?
So if I have a system that can check 50 billion keys per second, check all the keys?