Using the Karnaugh map, express the following function:
F(0, 1, 4, 5, 8, 10, 11, 12, 13, 15)
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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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