I can simplify this using Kmaps, but can't figure out how to using boolean algebra. If anyone could show me the steps I'd really appreciate it.

\$F = \bar{x}\bar{y}\bar{z} + xy + x\bar{z}\$

should simplify to:

\$F= xy + y\bar{z}\$

  • \$\begingroup\$ sorry, fixed with edit \$\endgroup\$
    – Austin
    Commented May 6, 2015 at 19:49
  • \$\begingroup\$ The site supports mathjax so I added it to your equations. \$\endgroup\$
    – Dean
    Commented May 6, 2015 at 19:56

1 Answer 1


Use the identities: \$a+\bar{a} = 1\$ and \$a+1 = 1\$








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