The C4 BIOS is dated 12-03-2018? It seems to be a system integrator product only sold to companies for system building, not for general market like the models receiving F BIOS.
That date would put it among the latest in the release history for F ROM Family BIOS release. No additional CPU support in the F ROM family has been added since F20 in 2016, just ucode patch most likely for security vulnerability. Since it is already supporting 8th gen CPU, it might have support for other Coffee Lake models with "B0" stepping that could run on 100/200 Series chipsets without any pin modding, just BIOS support. But I do not know.
You could check the BIOS using a
utility called "Coffee Time" which is developed for this purpose of BIOS modding to run Coffee Lake processors on Intel 100/200 series motherboards. Here is the list of reported B0 stepping/rev models that can work with BIOS support and do not require (in most cases) any modding to the CPU pin or motherboard.
Core i3 models:
- i3 9350KF
- i3 9350K
- i3 9300
- i3 9300T
- i3 9100F
- i3 9100
- i3 9100T
- i3 8350K
- i3 8300
- i3 8320
- i3 8300T
- i3 8100
- i3 8100T
Pentium G models:
- G5620
- G5600
- G5600F
- G5500
- G5500T
- G5420
- G5420T
- G5400
- G5400T
- G4950
- G4920
- G4900
- G4900T
If in Device Manager, you do not see any problem devices expanded with exclamation point or yellow triangle, after installing the latest
Intel Chipset Inf Support (and restarting) then there should not be any problem or limited functionality.