Do you think the death penalty is a contradiction to the 8th Amendment protections from Cruel and Unusual Punishment? Why or Why Not?

Between 1930 and 2007 there have been more than 4900 executions in the United States. Briefly discuss one United States Supreme Court Case that has had a significant impact on the death penalty over the years. Also, answer the following question: Do you think the death penalty is a contradiction to the 8th Amendment protections from Cruel and Unusual Punishment? Why or Why Not?