Q6-A The process of opening an entrance gate is controlled by a logic circuit which has three inputs indicated by Remote controller (R), Keypad (K) and Alarm system (A). This controller create a signal CONT that control the motor of the gate. If the signal CONT is "HIGH", the motor will open the door. Otherwise, if the signal CONT is "LOW" the motor will not open the door as shown in the following figure. The signal CONT will be "HIGH" when following conditions occurs: • Ris "LOW", K is "HIGH" and A is "LOW" • Ris "LOW", K is "HIGH" and A is "HIGH" • Ris "HIGH", K is “HIGH", A is “LOW" • All inputs (R, K and A) are "HIGH" Hint: HIGH could be considered as “1" and LOW could be considered as "0" i Define the Boolean expression of the output CONT ii. Simplify the determined CONT by using K-Map iii. Sketch the logic gate circuit that can produce he output CONT by using R, K and A based on the simplified Boolean expression | R K Gate CONT Controller A

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Q6-A
The process of opening an entrance gate is controlled by a logic circuit
which has three inputs indicated by Remote controller (R), Keypad (K) and
Alarm system (A). This controller create a signal CONT that control the
motor of the gate. If the signal CONT is "HIGH", the motor will open the
door. Otherwise, if the signal CONT is "LOW" the motor will not open the
door as shown in the following figure. The signal CONT will be "HIGH"
when following conditions occurs:
• Ris "LOW", K is "HIGH" and A is "LOW"
• Ris "LOW", K is "HIGH" and A is "HIGH"
• Ris "HIGH", K is “HIGH", A is “LOW"
• All inputs (R, K and A) are "HIGH"
Hint: HIGH could be considered as "1" and LOW could be considered as
“0"
i Define the Boolean expression of the output CONT
ii. Simplify the determined CONT by using K-Map
iii. Sketch the logic gate circuit that can produce he output CONT by
using R, K and A based on the simplified Boolean expression |
K
Gate
CONT
Controller
A
Q6 - B Subtract these hexadecimal numbers: i. C8-3A ii. FDO-5C2
Transcribed Image Text:Q6-A The process of opening an entrance gate is controlled by a logic circuit which has three inputs indicated by Remote controller (R), Keypad (K) and Alarm system (A). This controller create a signal CONT that control the motor of the gate. If the signal CONT is "HIGH", the motor will open the door. Otherwise, if the signal CONT is "LOW" the motor will not open the door as shown in the following figure. The signal CONT will be "HIGH" when following conditions occurs: • Ris "LOW", K is "HIGH" and A is "LOW" • Ris "LOW", K is "HIGH" and A is "HIGH" • Ris "HIGH", K is “HIGH", A is “LOW" • All inputs (R, K and A) are "HIGH" Hint: HIGH could be considered as "1" and LOW could be considered as “0" i Define the Boolean expression of the output CONT ii. Simplify the determined CONT by using K-Map iii. Sketch the logic gate circuit that can produce he output CONT by using R, K and A based on the simplified Boolean expression | K Gate CONT Controller A Q6 - B Subtract these hexadecimal numbers: i. C8-3A ii. FDO-5C2
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