4.) Given this truth table, find the unoptimized formula this corresponds to, along with the version which was optimized with a K-Map. A B C D | O 00000 0001 | 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 1 0 0 0 | 0 1 0 0 1 10100 0 1 0 1 1 0 1 100 | 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 Unoptimized Sum of Products equation 4a) 0 = Draw the K-map and simplify Optimized Sum of Products equation 4b) 0 =

3.) Given this truth table, find the unoptimized formula this corresponds to, along with the version which was optimized with a K-Map. A B C D O 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 Unoptimized Sum of Products equation 3a) 0 = Draw the K-map and simplify Optimized Sum of Products equation 3b) 0 =

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.

Fill in the truth table for the function f (a, b, c) = a '(b + c) + abc' a b c f 0 0 0   0 0 1   0 1 0   0 1 1   1 0 0   1 0 1   1 1 0   1 1 1