Problem 3: What is the simplest SOP and POS expressions for F = EAB.c(0, 1, 3, 4, 6) + D(2, 5), where "D" represents "Don't care"; see the K-map of F below. A'B A'B AB AB 0,0 0,1 1,1 1,0 1 1 1 1 1 1

Given g = {(1,c),(2,a),(3,d)}, a function from X = {1,2,3} to Y = {a,b,c,d}, and f = {(a,r),(b,p),(c,δ),(d,r)}, a function from Y to Z = {p, β, r, δ}, write f o g as a set of ordered pairs.

Suppose we construct two quaternions 91 and 92 which rotate about the same unit vector. The angle of rotation for 91 is 79 degrees and the angle of rotation for 92 is 158 degrees. To perform spherical linear interpolation between the two quaternions using sin(to) slerp(t, 91, 92) sin((1 − t)0) sin(0) 91 + 92 sin(0) what angle should be used for 0? If you are not sure, consider building two quaternions using the above angles and working through the problem...The answer should be expressed as a number of degrees.

Simplify the following Boolean functions by means of K-map:a) f(A,B,C) =∑m(0,2,3,4,6)b) f(A,B,C,D) = ∑ m(0,2,3,7,8,10,12,13)c) F(X,Y,Z) = Y’Z+YZ+X’Y’Z’