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Using the Karnaugh map, express the following function:

F(0, 1, 4, 5, 8, 10, 11, 12, 13, 15)


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This definitely appears to be homework - perhaps you're preparing for an exam. If it's for some coursework could you please mark it with the homework tag and indicate what you understand and what you've already tried. –  Glen_b Feb 21 '13 at 5:36
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1 Answer

Do you want an expression in the bits $b_3$,$b_2$,$b_1$, and $b_0$ that's true exactly when the binary number $b_3b_2b_1b_0$ is in your list?

If so, this is what the Karnaugh Explorer here gives: $$ \eqalign{&(b_1=0 \textrm{ and } b_0=0) \textrm{ or }\cr & (b_3=0 \textrm{ and } b_1=0) \textrm{ or }\cr & (b_2=1 \textrm{ and } b_1=0) \textrm{ or }\cr & (b_3=1 \textrm{ and } b_1=1 \textrm{ and } b_0=1) \textrm{ or }\cr & (b_3=1 \textrm{ and } b_2=0 \textrm{ and } b_1=1)\textrm{,}}$$ if I didn't miscopy anything.

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