Although Morpheus' speech mentions 100 years, that isn't really possible and much more time must have passed than even Zion realizes. Why?
7 males and 16 females could not repopulate Zion to the many thousands within 100 years without memory, multiply that by how many times did the architect say the matrix has been reloaded under the current The One paradigm?
It must be several hundred years at a minimum for each reboot.