Simplify the following Boolean functions using three-variable maps. PLEASE EXPLAIN IN WRITING THE STEPS AND WHAT IS GOINING ON F(x, y, z) =∑ (0,1,5,7) F(x, y, z) =∑ (1,2,3,6,7)

Simplify the following functions using K-maps, and then derive the corresponding simplified Boolean expressions. Note that d stands for don't-care cases. a) F(x, y, z) = (0,2,4,5) b) F(x, y, z) = (0,1,2,3,5) c) F(x, y, z) = Σ(1,2,3,6,7) d) F(x, y, z) = Σ(3,4,5,6,7) e) F(A,B,C,D) = Σ(4,6,7,15) f) F(w, x, y, z) = Σ(0,2,8,10, 12, 13, 14) g) F(w, x, y, z) = Σ(0, 2, 3, 5, 7, 8, 10, 11, 14, 15) h) F(A, B, C, D) = [(1,3,6,9,11,12,14) i) F(x, y, z) = Σ(0,4,5,6) and d(x, y, z) = Σ(2,3,7)

Simplify the following Boolean functlons using four-variable maps.  d.  F(A, B, C, D) = ∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)

Can you represent the following Boolean function f(A, B) with a linear classifier? If yes, show the linear classifier. If not, briefly explain why not. f(A, B) A B 1 1 1 1

Draw the graph of the function f(x)=⌊x/2⌋ from R to R.

Simplify the following Boolean functions using three variable map: e. F(xy.z) E (0,1,2,4,5,6) f. F(x.y.z)%-E (0,1,2,3,6,7)

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Simplify the following Boolean functions using four-variable maps. PLEASE EXPLAIN IN WRITING THE STEPS AND WHAT IS GOINING ON F(A, B, C, D) =∑ (4, 6, 7, 15) F(A, B, C,D) =∑ (0, 2, 4, 5, 6, 7, 8, 10, 13, 15)

Standard and Canonical Forms | Verilog | K-Map Consider the following Boolean Function: F(p,q,r) = p'q' + p'r' + qr On a separate sheet of paper complete the truth table for the function then transcribe the information requested below. Express the function in three canonical forms F(p,q,r) = F(p,q,r) = F(p,q,r) = Minimized function р q r Notation Designation F On a separate sheet of paper prepare and complete a K-Map for the function and use it to minimize the function X yz 0 1 F (p, q, r): = 00 1 mo 0 x'y'z' C r Minterm 1 1 01 C C r r 1 1 11 C C r r 1 1 10 C C r r

Please make a k-map to simplify the given boolean equation (and list the final simplified expression)(((((Y AND (~Z)) OR ((~Y) AND Z)) OR (~Z)) AND (~(X OR Y))) OR  (~(((Y AND (~Z)) OR ((~Y) AND Z)) OR (~Z))) AND (X OR Y))