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Examples of Boolean algebra simplifications using logic gates
In this section, we will look at some of the examples of Boolean algebra simplification using Logic gates.
1.F1 = xyz’
2.F2 = x + y’z
3.F3 = xy’ + x’z
4.F4 = x’y’z + x’yz + xy’
Truth tables for F1= xyz’, F2= x+y’z, F3= xy’+x’z and F4= x’y’z+x’yz+xy’
| x | y | z | F1 | F2 | F3 | F4 |
|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 | 1 | 1 | 1 |
| 0 | 1 | 0 | 0 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 0 | 0 | 1 | 1 | 1 |
| 1 | 0 | 1 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 1 | 1 | 0 | 0 |
| 1 | 1 | 1 | 0 | 1 | 0 | 0 |
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