5 votes 5 votes f(x,y,z) = $\bar{x} +\bar{y}z + xz$ what are prime implicants of this switching function? Digital Logic digital-logic k-map prime-implicants + – Mk Utkarsh asked Jan 13, 2018 retagged Jul 19, 2023 by Hira Thakur Mk Utkarsh 636 views answer comment Share Follow See 1 comment See all 1 1 comment reply Hemant Parihar commented Jan 13, 2018 reply Follow Share 2 Prime implicant and they are also the essential prime implicant. F(x) = $\overline{x}$ + z 3 votes 3 votes Please log in or register to add a comment.
2 votes 2 votes Prime Implicant $:$ A prime implicant is a product term obtained by combining the maximum possible number of adjacent squares in the map. Essential Prime Implicant $:$ Essential Prime Implicant is the subcube which covers at least one minterm which is not covered by any other prime implicants. So the given switching function contains two PIs and that are EPIs too. AniMan_7 answered Jul 19, 2023 AniMan_7 comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes $f(x,y,z)=\sum_m(0,1,2,3,5,7)$ contains $2$ prime implicants $(0,1,2,3)$ and $(1,3,5,7)$ which is also EPI. $\therefore f(x,y,z)=\sum_m(0,1,2,3,5,7)=\bar x+z $ Hira Thakur answered Jul 19, 2023 Hira Thakur comment Share Follow See all 0 reply Please log in or register to add a comment.