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It takes one restriction enzyme to cut a linear piece of DNA (straight line) into two pieces. For a circular piece of DNA (plasmid), it would take two of these restriction enzymes - just think of how you would split a circle into two pieces; cutting one section will only straighten out the DNA, not split it (try cutting a rubber band for a visual).

The answer to this question is completely dependent on the number of bands (representing different DNA fragment sizes) the lane produced. Since the first cut on a circular piece of DNA breaks the circle, then each consecutive cut will proceed as a linear band of DNA would.

For example, if lane three produced four bands, then it took a total of three restriction enzymes (each enzyme reacting to one restriction site). Below is an example of the linear piece of DNA from lane three, with each "|" representing a restriction site. Notice how there are three restriction sites, but four fragments ("----") are produced.

---- | ---- | ---- | ----

As explained earlier, if a circular piece of DNA were cut to produce a linear piece like the one above, it would take one restriction site. From there, the enzymes proceed like the ones in the above example. Therefore, a circular piece of DNA that produced four bands would have used four restriction enzymes, whereas a linear piece of DNA that produced four bands would have used three restriction enzymes.

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