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AOI Logic Implementation

AOI Logic Implementation. Digital Electronics. AOI Logic Implementation. This presentation will demonstrate how to… Design an AOI logic circuit from a Sum-Of-Products (SOP) logic expression. Design an AOI logic circuit from a Product-Of-Sums (POS) logic expression. EQUALS. Logic Expression.

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AOI Logic Implementation

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  1. AOI Logic Implementation Digital Electronics

  2. AOI Logic Implementation This presentation will demonstrate how to… • Design an AOI logic circuit from a Sum-Of-Products (SOP) logic expression. • Design an AOI logic circuit from a Product-Of-Sums (POS) logic expression. EQUALS Logic Expression AOI Logic Circuit

  3. Designing AOI SOP Logic Circuits Design Steps • Implement each Minterm in the logic expression with an AND gate with the same number of inputs as there are variables in the Minterm. (i.e., AB = 2 input gate, ABC = 3 input gate, ABCD = 4 input gate, etc.) • OR together the outputs of the AND gates to produce the logic expression. • If necessary, gates can be cascaded to create gates with more inputs.

  4. Example #1: AOIImplementation SOP • Example • Design an AOI Logic Circuit for the SOP logic expression shown below.

  5. Example #1: AOIImplementation SOP • Example • Design an AOI Logic Circuit for the SOP logic expression shown below. Solution

  6. Example #2: AOIImplementation SOP • Example • Unfortunately, in this class, we only have access to (2) input OR gates and (2) & (3) input AND gates. Limiting your design to these gates, redesign the AOI Logic Circuit for the SOP expression in the previous example.

  7. Example #2: AOIImplementation SOP • Example • Unfortunately, only (2) input OR gates and (2) & (3) AND gates exist in hardware. Limiting your design to these gates, redesign the AOI Logic Circuit for the SOP expression in the previous example. Solution

  8. Designing AOI POS Logic Circuits Design Steps • Implement each Maxterm in the logic expression with an OR gate with the same number of inputs as there are variables in the Maxterm. (i.e., A+B = 2 input gate, A+B+C = 3 input gate, A+B+C+D = 4 input gate, etc.) • AND together the outputs of the OR gates to produce the logic expression. • If necessary, gates can be cascaded to create gates with more inputs.

  9. Example #3: AOIImplementation POS • Example • Design an AOI Logic Circuit for the POS logic expression shown below.

  10. Example #3: AOIImplementation POS • Example • Design an AOI Logic Circuit for the POS logic expression shown below. Solution

  11. Example #4: AOIImplementation POS • Example • Limiting your design to only (2) input OR gates and (2) & (3) input AND gates, redesign the AOI Logic Circuit for the POS logic expression in the previous example.

  12. Example #4: AOIImplementation POS • Example • Limiting your design to only (2) input OR gates and (2) & (3) input AND gates, redesign the AOI Logic Circuit for the POS logic expression in the previous example. Solution

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