(a) All ordinances and resolutions upon their final passage or adoption shall be recorded in an official record kept for that purpose and shall be authenticated by the signatures of the presiding officer and the clerk of council.
(b) Ordinances of a general and permanent nature shall, after their effective date, be incorporated into the codified ordinances of the city. Council shall prescribe how the codified ordinances are to be organized and maintained. The codified ordinances shall be published and available for public inspection at all reasonable times.