**00**,

**01**,

**11**, and

**10**, respectively. The cell designations begin from

**000000**(corresponding to decimal 0) to

**111111**(corresponding to decimal 63) as shown. As in the case of the five-variable K-map, entries in similar cells can be combined to eliminate the involve variable (or variables) and thus simplify the given logic function. Example 8 will illustrate this.

**Example 8:**Simplify S(12, 13, 14, 15, 28, 29, 30, 31, 44, 45, 46, 47, 48, 49, 50, 51, 60, 61, 62, 63).

**Solution:**

**Figure 2.31 shows the entries for Example 8.**

The encircled five quads can be combined to form into two
main groups. Group 1 consists of
four quads whose individual members are (12, 13, 14, 15), (28, 29, 39,
31), (44, 45, 46, 47), and (60, 61, 62, 63), respectively. Group 2 consists of
just one quad whose members are (48, 49, 50, 51). The final solution is:

*S = cd + abc′d′*(2.32)

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