Yes, the DNA coils up to form chromosomes.
DNA molecules
chromosome
DNA molecule
A chromosome is formed from a single DNA molecule.
The difference between a chromosome and a DNA molecule is that a chromosome is a single DNA molecule associated with proteins and a DNA molecule is a long thin molecule that stores genetic information.
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Chromatids.
DNA and Protein
A centromere and a pair of sister chromatids
Doubled stranded DNA and protein molecules
Chromatin are the complex of DNA and proteins that makes up a eukaryotic chromosome. When the cell is not dividing, chromatin exists in its dispersed form, as a mass of very long, thin fibers that are not visible with a light microscope. In other words it is the non-rolled up DNA.
Gene is the functional unit of chromosome.