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1. Optimize the following Boolean function F together with the don't care conditions d. F(x, y, z, t) IIM(1, 5, 7, 8, 9, 11,

1. Optimize the following Boolean function F together with the don't care conditions d. F(x, y, z, t) IIM(1, 5, 7, 8, 9, 11, 13) = F(x,y,z,t)=Em(0, 4, 6, 12) (a) (4 points) Draw four-variable Karnaugh Map and find all prime implicants, essential prime implicants. (b) (2 points) Find simplified Boolean expression for F in SOP form using K-map. (c) (3 points) Implement the simplified Boolean expression using NAND gates only and draw the circuit.

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