NAND Logic 4 input circuit with nonstandard output

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SUMMARY

The discussion focuses on constructing a NAND logic circuit with four inputs (A, B, C, D) based on a specific boolean algebra expression derived from a truth table. The output of the circuit is zero unless both C and D are 1, both A and B are 1, or more than two inputs are 1. Participants emphasize the necessity of using only NAND gates to achieve the desired output and seek general methods for approaching similar problems in boolean algebra.

PREREQUISITES
  • Understanding of boolean algebra principles
  • Familiarity with truth tables and their construction
  • Knowledge of NAND gate functionality and logic
  • Experience with circuit design using logic gates
NEXT STEPS
  • Research how to simplify boolean expressions using Karnaugh maps
  • Learn about constructing circuits with only NAND gates
  • Explore techniques for deriving truth tables from boolean expressions
  • Study common methods for solving boolean algebra problems
USEFUL FOR

This discussion is beneficial for electrical engineering students, circuit designers, and anyone interested in digital logic design and boolean algebra applications.

YAHA
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Homework Statement



I have a weird boolean algebra expression for which I need to build a circuit using solely the NAND gates. There are 4 inputs A,B,C,D. From the truth table (I do not know how else to approach this question other than constructing the truth table and then trying to fit the output by playing around with gates) it seems that the output is zero unless C and D are both 1's or A and B are both 1's or more than two variables are 1's


Homework Equations





The Attempt at a Solution



Built the truth table. Aside from looking for tips to solve this, I am also looking to find out if there is some general method or rule of approaching these things.
 
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We don't see any truth table or expression.
 
YAHA said:
I have a weird boolean algebra expression for which I need to build a circuit using solely the NAND gates.
Post the expression.
 

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