Building Converters using Logical Gates for 4-bit Inputs

AI Thread Summary
To build converters for 4-bit inputs using logical gates, start by creating a truth table for the input values. The discussion emphasizes the need to combine gates like AND, OR, XOR, and NAND to achieve conversions, such as EXCESS-3 to BCD or GRAY to BCD. The example provided illustrates that binary values correspond to decimal outputs, highlighting the importance of understanding packed BCD. Utilizing Karnaugh maps can simplify the process of deriving logical expressions from the truth tables. The conversation ultimately focuses on the systematic approach to designing these converters with logical gates.
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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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