- #1

peroAlex

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At our class on digital structures, this assignment has been given. It's a preparation for upcoming lab work, and I'm not sure my design is correct. Is anyone please willing to check it out?

Design a two-bit comparator using NOR gates exclusively. Your circuit should yield 1 when ## A \geq B ##.

I'm not sure any equations can be put here.

I uploaded multiple files which are directly excreted from a PDF file I have to attach to my assignment. I hope it is not pesky!

I began by writing a truth table. In the next step, I proceeded with writing down conjunctive normal form (CNF) and minimizing it in the next step. To obtain the minimal conjunctive normal form (MCNF), I did use Mathematica to aid me with simplification. To obtain the logical formula that resembles NOR gate operation, MCNF has to be negated twice and solved using de Morgan theorem.

In the last step, circuit design. Using KiCad, I drew a circuit that implements only NOR gates.

If you see any fallacies, please let me know. I hope you're having a wonderful Saturday!

**1. The problem statement, all variables, and given/known data**Design a two-bit comparator using NOR gates exclusively. Your circuit should yield 1 when ## A \geq B ##.

## Homework Equations

I'm not sure any equations can be put here.

3. The Attempt at a Solution3. The Attempt at a Solution

I uploaded multiple files which are directly excreted from a PDF file I have to attach to my assignment. I hope it is not pesky!

I began by writing a truth table. In the next step, I proceeded with writing down conjunctive normal form (CNF) and minimizing it in the next step. To obtain the minimal conjunctive normal form (MCNF), I did use Mathematica to aid me with simplification. To obtain the logical formula that resembles NOR gate operation, MCNF has to be negated twice and solved using de Morgan theorem.

In the last step, circuit design. Using KiCad, I drew a circuit that implements only NOR gates.

If you see any fallacies, please let me know. I hope you're having a wonderful Saturday!