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Examples of Boolean algebra simplification | Computer Organization and Architecture Tutorial

Examples of Boolean algebra simplification | Computer Organization and Architecture Tutorial with introduction, evolution of computing devices, functional units of digital system, basic operational concepts, computer organization and design, store program control concept, von-neumann model, parallel processing, computer registers, control unit, etc.

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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'

Examples of Boolean algebra simplifications using logic gates

2. F2 = x + y'z

Examples of Boolean algebra simplifications using logic gates

3. F3 = xy' + x'z

Examples of Boolean algebra simplifications using logic gates

4. F4 = x'y'z + x'yz + xy'

Examples of Boolean algebra simplifications using logic gates

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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