Converting Logic Diagrams To NAND / NOR Logic

 Converting Logic Diagrams To NAND / NOR Logic

Since, NAND logic and NOR logic are universal logic system, digital circuits which are first computed and converted to AOI logic may then be converted to either NAND logic or NOR logic depending on the choice.

1 NAND-NAND Logic

A logic network can be converted into NAND-NAND gate network by going through following steps:

  • Methodology: To Obtain NAND-NAND Gate Network
    • Step 1: First draw the circuit in AOI logic i.e., using AND, OR and NOT gates.
    • Step 2: Add a circle (bubble) at the output of each AND gate and at the inputs to all the OR gates.
    • Step 3: Add an inverter on each line that received only one circle in steps 2, so that the polarity of signals on those lines remains unchanged from that of the original diagram.
    • Step 4: Replace bubbled OR by NAND and each inverter by its NAND equivalent.

2 NOR-NOR Logic

The procedure of converting an AOI logic to NOR-NOR logic is same as above except steps 2 and 4.

  • Methodology: To Obtain NOR-NOR Gate Network
    • Step 1: First draw the circuit in AOI logic i.e., using AND, OR and NOT gates.
    • Step 2: Add a circle (bubble) at the output of each OR gate and at the inputs to all the AND gates.
    • Step 3: Add an inverter on each line that received only one circle in steps 2, so that the polarity of signals on those lines remains unchanged from that of the original diagram.
    • Step 4: Replace bubbled AND by NOR and each inverter by its NOR equivalent

REFERENCES

1.        Digital Design by M. Morris Mano, Michael D Ciletti, Pearson
2.        Digital Fundamentals by Thomas L. Floyd, R. P. Jain, Pearson
3.        Digital Circuits and Design by S Salivahanan, S Arivazhagan, Vikas Publishing House Pvt Ltd.
4.        Digital Systems by Ronald J. Tocci, Neal S. Widmer, Gregory L. Moss, Pearson
5.        Digital Electronics Principles And Integrated Circuits by Anil K. Maini
6.        Fundamentals of Digital Circuits by Anand Kumar
7.        Digital Electronics by John Morris 
8.        Digital Electronics : An Introduction To Theory And Practice By William Gothmann.

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