Assignment: Do the following gate questions
1) Consider the following truth table. It has three inputs and two outputs.
i) Write output expression for each output
ii) Draw the circuit
|
Input
|
Output
|
|
x
|
y
|
z
|
A
|
B
|
|
0
|
0
|
0
|
1
|
0
|
|
0
|
0
|
1
|
0
|
1
|
|
0
|
1
|
0
|
0
|
1
|
|
0
|
1
|
1
|
1
|
0
|
|
1
|
0
|
0
|
0
|
1
|
|
1
|
0
|
1
|
1
|
0
|
|
1
|
1
|
0
|
0
|
0
|
|
1
|
1
|
1
|
1
|
1
|
2) Consider the following truth table. It has two inputs and two outputs.
iii) Write output expression for each output
iv) Draw the circuit
|
Input
|
Output
|
|
x
|
y
|
A
|
B
|
|
0
|
0
|
1
|
0
|
|
0
|
1
|
0
|
1
|
|
1
|
0
|
0
|
1
|
| |
1
|
1
|
0
|
3) Suppose a circuit has three 3 inputs, x, y, and z and 4 outputs, a, b, c, and d. Suppose the expression value for each output is:
a = x'y'z + xy'z + x'yz + x'yz'
b = xyz + x'y'z + x'yz' + xyz'
c = x'y'z' + x'yz + x'y'z + xyz
d = xy'z + x'y'z + x'yz' + x'y'z'
- Draw the truth table and create your circuit
4) Suppose a circuit has three 4 inputs, w, x, y, z and 2 outputs, a, b. Suppose the expression value for each output is:
a = wx'yz + w'x'y'z + wx'y'z + w'x'y'z'
b = wx'y'z' + w'xy'z' + w'xyz + wxyz
- Draw the truth table and create your circuit.