Simplify the following Boolean expressions, using three-variable K-maps:

AY www Pictured at t=0 1m u= 1 = x 10 m/s X A semicircular conducting loop containing a resistor R is shown at time t = 0. If the loop is moving with constant velocity u = 10x m/s in a time-varying magnetic flux density of B(p, t) = 2(4-p)cos (5nt + π/4) T, where p is the radial distance from the origin in meters and t is in seconds. If the loop radius is 1 m a.Calculate the transformer emf induced at t=0. Indicate your coordinate system of choice! b. Calculate the total emf induced at t = 0. c. Indicate clearly the direction of current flow within the loop at t = 0. Explain how you arrived at your answer.

i don't know how to solve this

4. Simplify the following Boolean expressions to a minimum number of literals using Boolean algebra. (a) (AC + BC) (A + B + D) (c) AB (CD + AC) (b) AB(A + C) + AB(A + B + C) (d) A(C + D) + Č(A + B)

Simplify the following expressions by means of boolean algebra: AB'C'+ABC+AB'C+ABC'

Consider the combinational circuit shown 1. Derive the Boolean expressions for T1 through T4. Evaluate the outputs F1 and F2 as a function of the four inputs 2. List the truth table with 16 binary combinations of the four input variables. Then list the binary values for T1 through T4 and outputs F1 and F2 in the table. A T3 T1 F1 T2 T4 D- F2

please solve utilizing boolean algebra.