You can get your car registered with a "limited parts exemption" smog check
certificate if the smog part which is causing your MGB to fail the smog test
is not available AND not repairable. You will need to call the California's
parts hotline at (800)622-7733. When you call them an agent will provide you
the names and telephone numbers of suppliers that may have a carburetor for
your MGB. If none of the suppliers have the carburetor you must call the
parts locator people back and tell them the part is not available. They will
then verify this and issue you a "Limited Parts Exemption". Once you receive
the limited parts exemption. You will then take your MGB to one of
California's Consumer Assistance and Referee Centers, where your car will be
smog inspected to make sure no other problems exist, and in fact the part
you can't find (in this case the carburetor) is the defective component
causing your car to fail the smog test. The vehicle must pass all other
aspects of the smog inspection before the state's smog referee will issue
you a smog check certificate.
The next time your MGB needs a smog check you'll need to go over the whole
process again. When the carburetor becomes available, you will need to
install it.