Design a circuit given truth table

Design a circuit given truth table

Circuit 4:  Design a circuit given truth table

Study the truth table below. It defines the output function f of a circuit with input variables a, b, and c for each group.  Each group needs to build one circuit using NOT, OR, AND gates to match the output f for the group.

 

a b c f for group 1 f for group 2 f for group 3 f for group 4 f for group 5 f for group 6 f for group 7 f for group 8
0 0 0 0 0 0 0 0 0 1 1
0 0 1 1 0 0 0 0 1 0 1
0 1 0 0 0 1 0 1 0 1 0
0 1 1 1 0 1 0 0 0 0 0
1 0 0 0 1 0 1 0 0 0 0
1 0 1 0 0 0 1 0 1 0 0
1 1 0 0 1 0 0 1 0 0 0
1 1 1 0 0 0 0 0 0 0 0

 

Find the expression for f, simplify it and draw the circuit for it.  Each group has a budget of $700 to build their circuit.  Refer to the chips cost below to calculate your circuit cost.  You may only use the gates in the chips listed at the end of this file. Build your circuit in Multisim live and verify its functionality.  Make sure to capture one circuit as built on the simulator showing the required inputs and output values for one input combination and include it in your report.

Circuit 5:  Design a circuit given a specification.

A chemical process is monitored by three digital sensors: Temperature (x), pressure (y), and heater power (z). If temperature is at or below normal, x is 0; if it is high, it is 1. If pressure is normal or below, y is 0; if it is high, y = 1. Heater power off corresponds to z = 0; heater power on corresponds to z = 1.

There are two dangerous conditions: (1) Temperature (x) and pressure (y) high and heater power (z) on (which will lead to higher temperature and pressure and could cause an explosion), and (2) temperature (x) and pressure (y) normal but power (z) off (which means that the process may be approaching too low an operating point, and thus ruin the batch of chemicals in process).

Design a circuit with inputs x, y, z and outputs L1, L2.  If condition (1) exists, your   circuit must generate an output L1 = 1 to turn on LED 1.  If condition (2) exists, the circuit must generate an output L2 = 1 to turn on LED 2.

x y z L 1 L2
0 0 0    
0 0 1    
0 1 0    
0 1 1    
1 0 0    
1 0 1    
1 1 0    
1 1 1    

 

Use the truth table above to define the values of outputs L1 and L2 based on the specification, develop a Boolean equation for each output, then build the circuit and verify that it works as specified.  Make sure to capture one circuit as built on the simulator showing the required inputs and output values for one input combination and include it in your report.

The budget for this circuit is $700.  Refer to the chips cost below to calculate your circuit cost.  You may only use the gates in the chips listed at the end of this file.

Writing the Laboratory Report: Write you lab report per the format in the project report template.  Make sure to show Boolean expressions and any simplifications used for the circuits you built.  Also, include an updated project plan.

Chip costs: You may as many gates in each chip as needed.

Hex Inverter chip:  74LS04 – $300 per chip

Quad AND chip:    74LS08 – $400 per chip

Quad OR chip:      74LS32 – $400 per chip

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