While "pedestal" itself is a noun, the word "pedest" is not a common word in English. However, it is the base form used in forming other words like:
* Pedestaled: (adjective) supported by a pedestal
* Pedestrians: (noun) people who walk on foot
* Pedestrianize: (verb) to make an area suitable for walking
Therefore, although not a standalone word, "pedest" is the root from which "pedestal" is derived.