Check if you realy have a BCM4313
lspci -vnn -d 14e4:
If you have one listed install these packages (obs: if you have the lts kernel install linux-lts-headers instead).
sudo pacman -S broadcom_wl_dkms wpa_supplicant linux-headers
Then you need to blacklist the drivers that come in the kernel.
sudo nano /etc/modprobe.d/blacklist.conf
To do it add these line to the file.
blacklist bcma
blacklist b43
blacklist b43legacy
blacklist brcm80211
blacklist ssb
Finally to start the driver you just need to run.
sudo modprobe wl
And your wifi card should start working in Arch Linux
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