Conviction shows you the answer (the Blood of Jesus, which washes away sin), while condemnation shows you the problem (the sin, the past and your failures). Condemnation shows you the problem, but conviction shows you the answer.
Condemnation shouts, “Your past! Your sins! You loser!” But conviction shouts, “The Blood of Jesus washes away sins! Come to Jesus and be forgiven of your sins! You can be forgiven! Your sins and past don’t have to be a part of you anymore!”