Having troubles wrapping my head around this design, also confused on directions

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Discussion Overview

The discussion revolves around designing a combinational circuit that takes a 3-bit number as input and produces a 6-bit binary output representing the square of that input number. Participants explore the interpretation of the input and output formats, as well as the creation of a truth table for the circuit.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • One participant questions the meaning of a 3-bit input, providing examples of binary representations from 000 to 111.
  • Another participant proposes that squaring the binary number 111 results in the binary output 110001 and seeks clarification on how to construct a truth table for this operation.
  • A later post indicates that one participant has resolved their confusion regarding the problem.
  • Another participant expresses a similar confusion and requests an explanation of the solution, specifically asking for the truth table and minimized equation.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as some express confusion while others claim to have figured out the problem. Multiple viewpoints on the approach to the truth table and output generation remain present.

Contextual Notes

There are unresolved aspects regarding the construction of the truth table and the minimization of the output equation, as well as potential assumptions about the interpretation of binary numbers.

mr_coffee
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One of my questions say:
Designa combinational circuit that accepts a 3 bit number and generates a 6 bit binary number output equal to the sqaure of the input number.

Now when it says it wants a 3 bit number as the input does it mean like
ABC
000
001
010
011
100
101
110
111

then the output would be
000 000
000 001
how would u make a 6 bit output of 010 == 2 in decimal? maybe I'm confused, wait i know i am! can anyone help?
 
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Wait i get it now...
if i would multiply
111
111
i would get
110001
but how would i implement that in a truth table?
like would it be
ABC DEFGHI
111 110001
Then my min term would be DE'F'G'HI ?
 
I figured it out...
 
I have the same question. Can you explain how you did this please? I need the table with inputs and ouput and the minimized equation for it.
 

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