Draw the equivalent circuit using only NAND gates

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Discussion Overview

The discussion revolves around the task of drawing an equivalent circuit using only NAND gates based on a given circuit. Participants explore the implications of using NAND gates for inversion and the specifications of the inputs provided in the problem statement.

Discussion Character

  • Homework-related
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants confirm that the initial answer is correct but question the allowance of using inverted inputs without explicitly using NAND gates for inversion.
  • There is a discussion about whether a 3-input NAND gate can be used in the solution.
  • One participant expresses confusion about the specification of ~C as an input, questioning its necessity and whether it could simply be C instead.
  • Another participant suggests that the change from ~C to C might not be a typo but rather a requirement of the problem, raising concerns about the validity of the answer if the input is misrepresented.
  • Some participants clarify that the homework instructions do not require the inclusion of gates for generating inverted inputs in the final answer.
  • There is a disagreement regarding the interpretation of the input ~C, with one participant insisting that it cannot be changed to C.
  • Participants note a potential error in the drawing of the inverter gate in one of the responses.

Areas of Agreement / Disagreement

Participants generally agree on the correctness of the initial answer but express differing views on the handling of the input ~C and whether it can be altered. The discussion remains unresolved regarding the implications of using ~C versus C.

Contextual Notes

There are uncertainties regarding the specific requirements of the homework instructions, particularly about the necessity of including gates for generating inverted inputs. The discussion also highlights potential ambiguities in the problem statement.

Fatima Hasan
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Homework Statement


For the circuit shown below , draw the equivalent NAND gates .
1.png


Homework Equations


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The Attempt at a Solution


2.png

Could someone check my answer please ?
 

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It is correct.
Are you allowed -A, or -B without using a NAND to invert them?
Are you allowed to use a 3-input NAND?
 
I know one can reproduce any other gate using only NAND gates, but there are some things I don't understand about the above.
  • if ~ means inverted, what is the point in the problem specifying ~C as an input? Why not simply C?
  • does A,B translate into A,~B; ~A,B implicitly, without needing to be shown?
  • is the change from ~C to C just a typo? Or a mis-transcription from the problem? (I guess it has no material effect on the result)
 
Last edited:
Hello @DaveC426913:

The tilda (~) is among the common notations for "not".
Only the author would know why ~C was specified instead of C - but I imagine it was just part of the exercise.
Your second question is basically the same as my 2nd question. You can change A to ~A with a single nand gate. But do the homework instructions require that the gates for generating ~A and ~B be included in the answer?
When @Fatima Hasan specified C instead of ~C in his response, it could not have been "just a typo". Only C would work in his answer. But again, is he allowed to presume that C is available?
 
Last edited:
.Scott said:
It is correct.
Are you allowed -A, or -B without using a NAND to invert them?
Are you allowed to use a 3-input NAND?
Yes to both questions.
 
.Scott said:
But do the homework instructions require that the gates for generating ~A and ~B be included in the answer?
No , only the final answer is required.
 
Here's how I changed from ~C to C :
Untitled.png
 

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Fatima Hasan said:
Here's how I changed from ~C to C :
OK but C is not what is provided as input.
The input is ~C. You don't get to change that.

I think this answer is wrong.
 
Fatima Hasan said:
Here's how I changed from ~C to C :
View attachment 235192
I didn't check the rest of your work, but the vertical inverter gate is drawn upside-down...

upload_2018-12-4_7-1-17.png
 

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