hi please answer problem 4.4

thank you

Problem 4.3 (a) Convert the following binary numbers to both decimal and hexadecimal numbers: 1. 110011 2. 10111001101 3. 0101 10110101 (b) Convert the following decimal numbers to both binary numbers and hexadecimal numbers: 1.47 2. 135 3. 423 Bin O moj C) 0001 TO 100117 Problem 4.4 (a) Simplify the following functional expression (all signals are Boolean): tex-A) ar B) 87 Valve -(LT+ Start) (Empty + Alarm+LT) (LT + Empty) (b) Simplify the logical function F-(A+B)(A+CD). Use De Morgan's rule to find F (C) Simplify the logical function F-AB(C+D)+B(AC+BD+CD) Problem 4.5 (a) The control unit for a traffic light is to activate the alarm (F= 1) if there is a green light in both directions simultaneously (GI = G2 = 1) or if there is a red light in both directions simultaneously (RI = R2 = 1). Write the logical expression for F and draw up a block diagram (logical circuit). (b) The logical circuit in a passenger car activates a waring light F if the ignition is on (I = 1) and the driver's (D = 1) or a passenger's (P = 1) seat belt is not fastened and a pressure sensor indicates that a seat is occupied (S = 1). Find a logical expression for F and draw the logical circuit Problem 4.6 A pump is used to fill a tank. Whether or not the pump (P) runs depends upon the state of four discrete signals: A sensor (L) that gives a signal when the level in the tank gets above a lower limit, a sensor (H) that gives a signal when the level gets above an upper limit, a drain valve (V) from the tank that is closed or open, and an alarm state (A). The following functional table shows when the pump should operate (P = 1): L H V A P 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0