AZT is known to be an effective treatment for HIV infection. However, patients may develop reactions to AZT when it is administered for long periods of time. Combining AZT with another drug at lower doses might reduce toxicity in patients and prevent the development of drug resistant strains. IFN-A2a can reduce the growth of HIV in test tube experiments and recent studies have shown that when AZT and IFN-A2a are used together they reduce the growth of HIV more effectively than when either drug is used alone. This study will examine the effectiveness and safety of these drugs when they are given together and compare these results with the effectiveness and safety of the drugs when they are used alone.