For each of the following systems:a) Derive the truth tableb) Get the logic expressionc) Determine the logic circuit1- Drill with a photo sensor detector to indicate whether to enable the drill operation or not. If the light beam is interrupted an enable signal for the Drilling is allowed (fig.a). In the opposite case, the enable signal will be suppressed (=0) if the light beam is on (fig.b).SR

SR

2- A press performs the working stroke only when the guard is closed (signal from S2) and the reset button S1 is pressed.S2S1

3- The alarm indicator P of a turbine is on if speed n is exceeded or the temperature T is too high or the Cooling circuit K is no longer in operation.Pn>>T>>k

4- In a long car tunnel two fans of different power are installed and there are three smoke detectors distributed in the tunnel. If a smoke detector signal is on, the first fan must be running. Provide two smoke detectors signals are on so the second fan must be running. If all three smoke detector signals are on must both fans must be on.5- A generator with a maximum of 10 kW loading. 4 motors with the ratings of 2 kW, 3 kW, 5 kW and 7 kW are connected to the generator through sensors S1, S2, S3 and S4. P is an indicator light and it is on For all permissible combinationsS1S2S3S4

6- In a high risk plant (power plant), it should be switched off immediately in case of danger. For this purpose, several hazard detectors are installed. Since even in the hazard detectors, errors may occur and unnecessary Disconnection can cause significant costs, each indicator is equipped with three identical hazard detectors. Each individual risk is reported with a "0" signal to wire breakage to take into account. The shutdown should be made only when at least two of the risk indicators indicates wire break.

7- The emptying of a dam via the two solenoid valves M1 and M2 depends on the level in the pool. If level sensor S1 indicates that the level is below the lower sensor (S1 = 0), M1 valve opens. If the level has reached sensor S2, valve M2 is opened and M1 is closed. If the level is above level Sensor S3, both valves open M1 and M2. In a sensor error readings, for example, if S2=1 and S1 =0, the fault indicator lights P and both valves as a precaution opened.S1S2S3M1M2P

8- On a conveyor belt long and short work pieces are transported to the site in any sequence. The incoming parts are scanned according to their lengths. The length of the parts is determined by a scanning device (roller lever): in case of long work piece, all three roller levers are on simultaneously. In case of short work piece, only the center roller lever is on. In case of short work piece, pneumatic cylinder is on M1=1. While in case of long work piece, M1=0S1S2S31B11B2

9- Design a car safety alarm considering four inputs Door closed (D) (D=1 door is closed D=0 Door is not closed) Key in (K) (K=1 key is in K=0 key is not in) Seat pressure (S) (S=1 the driver is in the seat S=0 the driver is not in the seat) Seat belt closed (B) (B=1 the seat belt is closed B=0 the seat belt is not closed)The output alarm (A) should sound (A=1) if: The key is in and the door is not closed, or The door is closed and the key is in and the driver is in the seat and the seat belt is not closed

1. Derive the truth table

DKSBA

0000

0001

0010

0011

0100

0101

0110

0111

1000

1001

1010

1011

1100

1101

1110

1111

1. Reduce the expression using Karnaugh Map and Draw the logic circuit to control the output A

00011110

00

01

11

10

1. Derive the truth table of (A) after reduction.DKSBA

0000

0001

0010

0011

0100

0101

0110

0111

1000

1001

1010

1011

1100

1101

1110

1111

10- A generator with a maximum of 7 kW loading. 3 motors with the ratings of3 kW, 4 kW and 5 kW are connected to the generator through sensors S1, S2 and S3 (S1=1 if motor 1 is running, S1=0 if motor 1 is not running) the same for the other 2 sensors. S0 is an overload permissible switch if S0=1 it enables the generator to operate at 120% of its rating (20% overload). P is an indicator light and it is on if a permissible overload occurs (S0=1 and the total percentage loading X is between 100% and 120% (100%