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Minimize y=Σm (1,5,7,9,11,13,15) and realise using universal gates
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To minimize the above minterms, we can use k-maps.

Since the highest minterm value is "15". We have to use 4-variable k-maps.

Note: "n-variable" k-map has 2n cells.

The minimized expression for the minterms given is $\bar C D+AD+BD$

Logic diagram using Basic Gates:

NAND, NOR are universal gates:

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To minimize the above minterms, we can use k-maps.

Since the highest minterm value is "15". We have to use 4-variable k-map.

By placing all the minterms in the K-map we get

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Grouping 1's as quads we get

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Realization using Universal gates:

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