Do God and science contradict each other?

Does religion (God) and science contradict one another? Can religion and science coexist? What about evolution, DNA, the big bang theory? For some reason, we have the idea that it has to be either God - OR - science, as if one contradicts the other, as if one disproves the other, as if they are two opposing forces at battle, and only one can win. But if there is a God, and God is truth, then truth could never contradict science, and if anything, science should lead us to God, and never away.