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A Heater and a thermometer with four sensors:
a, b, c, d (input variables) ((a = highest temperature to d = lowest temperature))
Particular sensors indicate logical 1, if temperature is above level Ta, Tb, Tc , Td.
Design a circuit for three switches: Sw1, Sw2 and Sw3, Sw4 (outputs) so that the heaters can operate in series or in parallel connection.
(1) The temperature < Td --- H1 and H2 work in parallel
(2) Td < the temperature < Tc --- only H1 is working
(3) Tc < the temperature < Tb --- only H2 is working
(4) Tb < Temperature < Ta -- H1 and H2 work in series
(5) T ≥ Ta --- H1 and H2 are NOT working
I was just wondering if someone could give me some feedback. I've made a truth table with the input variables (temperature) and with the output variables (sensors) below.
Ta | Tb | Tc | Td |
0 | 0 | 0 | 0
0 | 0 | 0 | 1
0 | 0 | 1 | 0
0 | 0 | 1 | 1
0 | 1 | 0 | 0
0 | 1 | 0 | 1
0 | 1 | 1 | 0
0 | 1 | 1 | 1
1 | 0 | 0 | 0
1 | 0 | 0 | 1
1 | 0 | 1 | 0
1 | 0 | 1 | 1
1 | 1 | 0 | 0
1 | 1 | 0 | 1
1 | 1 | 1 | 0
1 | 1 | 1 | 1 Sw1 (A) | Sw2 (B) | Sw3 (C) | Sw4 (D) | OUTPUT
0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 1 | 0
0 | 0 | 1 | 0 | 0
0 | 0 | 1 | 1 | 1 (5)
0 | 1 | 0 | 0 | 1 (3)
0 | 1 | 0 | 1 | 1 ***
0 | 1 | 1 | 0 | 1 *** (NOT SURE ABOUT THIS ONE)
0 | 1 | 1 | 1 | 1 ***
1 | 0 | 0 | 0 | 0
1 | 0 | 0 | 1 | 1 (2)
1 | 0 | 1 | 0 | 0
1 | 0 | 1 | 1 | 1 ***
1 | 1 | 0 | 0 | 1 ***
1 | 1 | 0 | 1 | 1 (1)
1 | 1 | 1 | 0 | 1 (4)
1 | 1 | 1 | 1 | 1 ***
*** I'm not sure if these outputs should be 1's or X (don't care states) on the truth table. I've attached a photo of the circuit.
Y= CD + B + BD + BCD + AD + ACD + AB + ABD + ABC + ABCD
Y = CD + AD + B (reduced form)
Therefore the circuit is:
C
-----AND GATE -----------
D
A
-----AND GATE --------- (3 INPUT OR GATE (CD, AD and B all lead to this OR gate)
D
B -------------------------Sw1 (A) Sw2 (B) Sw3 (C) Sw4 (D) OUTPUT
0 1 1 0 1
According to the reduced function, if Sw2 (B) is on 1 then the output will always be 1. However, this appears to contradict the photo in which Sw2 (B) relies upon Sw3 (C) being 0 so that the circuit can loop around and have an output of 1.
I think I've overthought this a little bit so I might just leave it here for now and see if anyone can give me some feedback. Cheers!
P.S. Sorry about the formatting.
a, b, c, d (input variables) ((a = highest temperature to d = lowest temperature))
Particular sensors indicate logical 1, if temperature is above level Ta, Tb, Tc , Td.
Design a circuit for three switches: Sw1, Sw2 and Sw3, Sw4 (outputs) so that the heaters can operate in series or in parallel connection.
(1) The temperature < Td --- H1 and H2 work in parallel
(2) Td < the temperature < Tc --- only H1 is working
(3) Tc < the temperature < Tb --- only H2 is working
(4) Tb < Temperature < Ta -- H1 and H2 work in series
(5) T ≥ Ta --- H1 and H2 are NOT working
I was just wondering if someone could give me some feedback. I've made a truth table with the input variables (temperature) and with the output variables (sensors) below.
Ta | Tb | Tc | Td |
0 | 0 | 0 | 0
0 | 0 | 0 | 1
0 | 0 | 1 | 0
0 | 0 | 1 | 1
0 | 1 | 0 | 0
0 | 1 | 0 | 1
0 | 1 | 1 | 0
0 | 1 | 1 | 1
1 | 0 | 0 | 0
1 | 0 | 0 | 1
1 | 0 | 1 | 0
1 | 0 | 1 | 1
1 | 1 | 0 | 0
1 | 1 | 0 | 1
1 | 1 | 1 | 0
1 | 1 | 1 | 1 Sw1 (A) | Sw2 (B) | Sw3 (C) | Sw4 (D) | OUTPUT
0 | 0 | 0 | 0 | 0
0 | 0 | 0 | 1 | 0
0 | 0 | 1 | 0 | 0
0 | 0 | 1 | 1 | 1 (5)
0 | 1 | 0 | 0 | 1 (3)
0 | 1 | 0 | 1 | 1 ***
0 | 1 | 1 | 0 | 1 *** (NOT SURE ABOUT THIS ONE)
0 | 1 | 1 | 1 | 1 ***
1 | 0 | 0 | 0 | 0
1 | 0 | 0 | 1 | 1 (2)
1 | 0 | 1 | 0 | 0
1 | 0 | 1 | 1 | 1 ***
1 | 1 | 0 | 0 | 1 ***
1 | 1 | 0 | 1 | 1 (1)
1 | 1 | 1 | 0 | 1 (4)
1 | 1 | 1 | 1 | 1 ***
*** I'm not sure if these outputs should be 1's or X (don't care states) on the truth table. I've attached a photo of the circuit.
Y= CD + B + BD + BCD + AD + ACD + AB + ABD + ABC + ABCD
Y = CD + AD + B (reduced form)
Therefore the circuit is:
C
-----AND GATE -----------
D
A
-----AND GATE --------- (3 INPUT OR GATE (CD, AD and B all lead to this OR gate)
D
B -------------------------Sw1 (A) Sw2 (B) Sw3 (C) Sw4 (D) OUTPUT
0 1 1 0 1
According to the reduced function, if Sw2 (B) is on 1 then the output will always be 1. However, this appears to contradict the photo in which Sw2 (B) relies upon Sw3 (C) being 0 so that the circuit can loop around and have an output of 1.
I think I've overthought this a little bit so I might just leave it here for now and see if anyone can give me some feedback. Cheers!
P.S. Sorry about the formatting.
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