Building Converters using Logical Gates for 4-bit Inputs

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SUMMARY

This discussion focuses on building converters for 4-bit inputs using logical gates such as AND, OR, XOR, and NAND. Specific examples include converting EXCESS-3 to BCD and GRAY code to BCD. The participants emphasize the importance of creating truth tables for the input values (x3x2x1x0) to derive the correct output (y3y2y1y0). Additionally, references to Packed BCD and Karnaugh maps are provided as essential resources for simplifying logic expressions.

PREREQUISITES
  • Understanding of 4-bit binary representation
  • Familiarity with logical gates (AND, OR, XOR, NAND)
  • Knowledge of truth tables and their construction
  • Basic concepts of Binary-Coded Decimal (BCD) and EXCESS-3 encoding
NEXT STEPS
  • Study the construction of truth tables for logical gate combinations
  • Learn about the conversion processes between EXCESS-3 and BCD
  • Explore the GRAY code to BCD conversion techniques
  • Investigate the use of Karnaugh maps for simplifying logical expressions
USEFUL FOR

Students in digital logic design, electrical engineering majors, and anyone interested in understanding binary conversions and logical gate applications.

alexmath
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Homework Statement



I have to build some converters (only for 4 bits) and i didn't understand how. How do i proceed? Which logical gates combined in such a way give me the y3y2y1y0 answer for x3x2x1x0?
For example, build a coverter from EXCES3 to BCD, or from GRAY TO BCD, or C1 complement to C2 using logical gates (AND,OR,XOR,NAND,etc.)

Homework Equations



The Attempt at a Solution



Well, i can make the truth table for x3x2x1x0.
Thank you!
 

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