02:00.0 Network controller : Broadcom Corporation BCM4313 802.11b/g LP-PHY [14e4:4727] (rev 01)
Subsystem: Askey Computer Corp. Device [144f:7179]
Right - you don't have a driver for that hardware.
14e4:4727 - -is the PCI ID
For example this line is he driver for the WIRED enet
Next question - is there a driver, is it in a later kernel.
Here is a proprietary driver for Linux, you can google up directions for building & installing
However there IS a driver for the 4313 in recent Linux kernels.
brcmfmac.ko or maybe brcmutil.ko
but these didn't exist until very recent kernels.
If I were you I'd install f16 and then install a new kernel from koji. Trying to make new harware play under old software is a time-waster.
---------- Post added at 10:54 AM ---------- Previous post was at 10:49 AM ----------
That driver was added to the kernel on October 11, 2011, and ARE in the F16 standard kernel (koji not required).
Install F16 ! Reboot.