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Write the following expression in both minimal and canonical sum of products form

$$(b+d)(a'+b'+c).$$

I made the truth tables for both and got the following:

$$a'b'c'd + a'b'cd + a'bcd + abcd' + ab'c'd + ab'cd + abcd.$$

I also tried distributing it and got:

$$a'b + bb' + bc + a'd + b'd + cd = a'(b+d) + c(b+d) + b'd$$

Am I doing this right so far? Also what do I do next?

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Prabhjot Mattu
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    You distributed the terms correctly. You may want to check out the Wikipedia article on Karnaugh maps at https://en.wikipedia.org/wiki/Karnaugh_map. They provide a nice visual way of deciding if you can get less terms for your sum. – Matt Groff Sep 12 '18 at 01:33

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