Draw the equivalent circuit using only NAND gates

[Fatima Hasan]

Homework Statement

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

Homework Equations

-

The Attempt at a Solution

Could someone check my answer please ?

 

[.Scott]

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?

 

[DaveC426913]

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)

 

[.Scott]

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?

 

[Fatima Hasan]

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.

 

[Fatima Hasan]

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.

 

[Fatima Hasan]

Here's how I changed from ~C to C :

 

[DaveC426913]

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.

 

[berkeman]

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...