37.

(a) A Karnaugh map for three variables has minterm 0 adjacent to 2, and 4 adjacent to 6.

Copy Figure 10.30, cut out the Karnaugh map, and tape it in the shape of a cylinder so that adjacent minterms are physically adjacent.

(b) For adjacent minterms to be physically adjacent in a four-variable Karnaugh map requires a three-dimensional torus (shaped like a doughnut). Construct a torus from clay or some other suitable material and inscribe or write on it the cells and their decimal labels of Figure 10.33(a). For example, the cell with 2 should be physically adjacent to the cells with 0, 3, 6, and 10.