1. Build a circuit in Logisim with the following characteristics: The circuit should have 3 inputs...

1. Build a circuit in Logisim with the following characteristics:

The circuit should have 3 inputs - A, B, and C.
The circuit should have 1 output - W.
The output should be a 1 if the three inputs would form a binary number that is a multiple of 3. (Don't forget that 0 is a multiple of 3!)
The circuit should only use AND gates, OR gates, NOT gates, input pins, output pins, and wires. (See if you can build your circuit with as few gates as possible!)

2. Change your circuit from problem 1 so that it only uses decoders, OR gates, input pins, output pins, and wires.

3. Draw your circuit from problem 1 as a PLA.

Expert Solution

1) Truth Table:

A	B	C	W
0	0	0	1
0	0	1	0
0	1	0	0
0	1	1	1
1	0	0	0
1	0	1	0
1	1	0	1
1	1	1	0

W (A, B, C) = m (0, 3, 6)

m1 = 000 = A'B'C'
m3 = 011 = A'BC
m6 = 110 = ABC'
The Expression for W = A'B'C'+A'BC+ABC'

Circuit in Logisim

2) 3X8 Decoder:

3) PLA CIRCUIT:

venereology answered 8 months ago

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