If your digital multimeter does not have a feature to test diodes and transistors, you can construct one for yourself. This project uses a PIC microcontroller for testing diodes and BJTs. The test results are displayed on a character LCD. The results include if the transistor or diode is good or bad, the type of the transistor (PNP or NPN), and the status of the individual PN junctions.
PIC based Diode and Transistor Tester - [Link]