The organelle that contains DNA and has a double membrane is the nucleus. DNA is made up of nucleotides with three parts: a sugar, phosphate group, and one of four nucleotide bases (adenine, thymine, guanine, cytosine). The bases pair up with each other through hydrogen bonds to form the double helix structure of DNA. DNA replication involves unwinding the double helix, creating complementary base pairs to form two new DNA strands.