Please do all questions. A screenshot using the LogiSim (computer program) is fine for questions 7-9. For question 10 you can make up any digitial design problem (like problem number 9) and solve it.

5. Simplify the following expressions by means of a four-variable K-Majp () AD+ BD+BC+ ABD (a) AD + BD BC + ABD (b) ABC+CD+ BCD + BC 6. Propose and solve your own boolean expression problem-A 7. HeartRate Monitor A heart rate monitor measures an individuals heart rate and blood pressure. Both sensors output zero (0) if they are within safety range. An alarm will sound if either sensor indicates an unsafe condition is present Set-up the appropriate truth table, simplify using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates. 8. Hurricane Detector Three LEDs (one red, one green, one blue turn on when a number 0-7 is passed through. Red turns on with even numbers, green turns on with odd numbers, blue turns on with multiples of 3. Zero means they are all off, seven means they are an Set-up the appropriate truth table, simplify using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates 5. Simplify the following expressions by means of a four-variable K-Majp () AD+ BD+BC+ ABD (a) AD + BD BC + ABD (b) ABC+CD+ BCD + BC 6. Propose and solve your own boolean expression problem-A 7. HeartRate Monitor A heart rate monitor measures an individuals heart rate and blood pressure. Both sensors output zero (0) if they are within safety range. An alarm will sound if either sensor indicates an unsafe condition is present Set-up the appropriate truth table, simplify using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates. 8. Hurricane Detector Three LEDs (one red, one green, one blue turn on when a number 0-7 is passed through. Red turns on with even numbers, green turns on with odd numbers, blue turns on with multiples of 3. Zero means they are all off, seven means they are an Set-up the appropriate truth table, simplify using K-maps. Implement, using LogiSim, the simplified logic circuit with optimal number of logic gates