Multiple choice

In the Karnaugh map shown below, X denotes a don't care term. What is the minimal form of the function represented by the Karnaugh map?

  1. $\bar{b}.\bar{d} + \bar{a}.\bar{d}$
  2. $\bar{a}.\bar{b} + \bar{b}.\bar{d} + \bar{a}.b.\bar{d}$
  3. $\bar{b}.\bar{d} + \bar{a}.b.\bar{d}$
  4. $\bar{a}.\bar{b} + \bar{b}.\bar{d} + \bar{a}.\bar{d}$
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