Implementing Boolean Function F with NOR Gates

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SUMMARY

The discussion focuses on implementing the Boolean function F(A,B,C,D) using NOR gates and understanding the concept of "don't care" conditions in Boolean algebra. The function is defined as F(A,B,C,D) = ∑(0,1,2,9,11) with don't care conditions at d(8,10,14,15). Participants clarify that "d" indicates values that can be either 1 or 0, allowing flexibility in circuit design. The first implementation using two NOR gates is straightforward, while the second part involving NAND-AND and OR-NAND configurations requires further exploration.

PREREQUISITES
  • Understanding of Boolean algebra and logic gates
  • Familiarity with NOR gate functionality and circuit design
  • Knowledge of "don't care" conditions in Boolean functions
  • Experience with two-level logic implementations (NAND-AND, OR-NAND)
NEXT STEPS
  • Research the implementation of Boolean functions using NOR gates
  • Learn about "don't care" conditions and their applications in circuit design
  • Explore two-level logic circuit design techniques, specifically NAND-AND and OR-NAND
  • Practice drawing circuit diagrams for various Boolean functions
USEFUL FOR

Students studying digital logic design, electrical engineering students, and professionals working with circuit implementations and Boolean algebra optimization.

ahmed-mii
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Homework Statement


1. Implement the following Boolean function F using no more than two NOR gates and draw the circuit.F(A,B,C,D)=∑(0,1,2,9,11)+d(8,10,14,15)
2. Implement the following Boolean function using two - level forms:
NAND - AND
OR - NAND and

Homework Equations





The Attempt at a Solution


The first one is kinda easy but I didn't what's the meaning of d.
The second one I'm actually Confused about the solution .First one is I draw NAND then AND
is this correct.
 
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The d means does not matter. So that values of 8, 10, 14 and 15 can be either 1 or 0, whichever gives the neatest solution. I'm unsure about the second part, sorry.
 
Thank you for replying .Now,I know 'd' what's mean it's don't care .
 

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