How to construct XOR function using NORs?

R

Rakesh Sharma

Guest
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
 
In sci.electronics.design Rakesh Sharma <srakesh@hotmail.com> wrote:
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.
Click to expand...
Work out how to make other stuff.
Start out with an inverter.
Now, see if you can use this to make an and gate.

Now, go on to nand and ...

Now, you have the building blocks.
Start playing with them, and see how you can reduce the gate count
as much as possible.
 
Rakesh Sharma wrote:
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
Click to expand...
EXOR(A,B)=OR(AND(A,/B),AND(/A,B)) and since AND(X,Y)=NOR(/X,/Y) and
OR(X,Y)=NOT NOR(X,Y) you're done.
 
Rakesh Sharma wrote:
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
--------------------
Click to expand...
These files comprise a complete course in Boolean transformations.
If you study them you can do anything.

ftp://ftp.armory.com/pub/user/rstevew/TUTS/
files: boolean & boolean2 and demorgan & demorgan2 -> .txt

or:
http://www.armory.com/~rstevew/Public/Tutor/Boolean/BooleanTut.txt
http://www.armory.com/~rstevew/Public/Tutor/Boolean/DeMorganTut.txt
http://www.armory.com/~rstevew/Public/Tutor/Boolean/XOR1.gif

http://www.armory.com/~rstevew/Public/Tutor/Boolean/XNOR1.gif
and add an inverter to the output.

-Steve
--
-Steve Walz rstevew@armory.com ftp://ftp.armory.com/pub/user/rstevew
Electronics Site!! 1000's of Files and Dirs!! With Schematics Galore!!
http://www.armory.com/~rstevew or http://www.armory.com/~rstevew/Public
 
"Rakesh Sharma" <srakesh@hotmail.com> skrev i melding
news:17c0a468.0409261152.eb042ba@posting.google.com...
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
Click to expand...

This should work:

__
.------------|>=|
| |1 |o-------.
| .-|__| |
| __ | | __ __
A----o-|>=| | '-|>=| .------|>=|
|1 |o----| |1 |o-' |1 |o- X
B----o-|__| | .-|__| .---|__|
| | __ | |
| '-|>=| | |
| |1 |o-------' 0|
o------------|__|
created by Andy´s ASCII-Circuit v1.24.140803 Beta www.tech-chat.de

Must be viewed in fixed font.
 
On Sunday 26 September 2004 02:12 pm, Geir Klemetsen did deign to grace us
with the following:

"Rakesh Sharma" <srakesh@hotmail.com> skrev i melding
news:17c0a468.0409261152.eb042ba@posting.google.com...
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh


This should work:

Please don't do the kiddies' homework for them.
Click to expand...

Thanks,
Rich
 
Rakesh Sharma (srakesh@hotmail.com) writes:
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
Click to expand...
I've deliberately taken out the cross-posting.

You do realize that this sort of question is in all kinds of books. If
you don't have a source to look it up, you do lack a basic library that
everyone interested in electronics should have.

One could go to the public library if one's stuck for lack of books.

Likely a search of websites will turn it up.

Finally, the only real reason you would want to do this is for homework.
It's much simpler to get an exclusive-or gate than wire up other gates.
Michael
 
Rakesh Sharma wrote:

Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
Click to expand...
The last two months of Embedded Systems Programming
(http://www.embedded.com) has a nice column on Karnaugh maps and the
Quien-McClusky method -- look for Jack Crenshaw's math column.

--

Tim Wescott
Wescott Design Services
http://www.wescottdesign.com
 
"Michael Black" <et472@FreeNet.Carleton.CA> wrote in message
news:cj7jg4$6he$1@freenet9.carleton.ca...
Finally, the only real reason you would want to do this is for homework.
It's much simpler to get an exclusive-or gate than wire up other gates.
Click to expand...
Why's everyone got such a downer on helping kids with homework? Sure, don't
do it for them, but a prod in the right direction is reasonable.

In my day <dons slippers><lights pipe> we'd have got extra marks for knowing
where to look for help on the Internet!

Andyb
--
The above email address is whitelisted.
If I don't have your address already, I wont see your message.
 
"Rakesh Sharma" <srakesh@hotmail.com> wrote in message
news:17c0a468.0409261152.eb042ba@posting.google.com...
Hi,

How would I construct an XOR function using NOR gates ONLY? I have
tried breaking my head over it but haven't come up with a solution.

Thanks in advance

Rakesh
Click to expand...

All of the propositional functions can be expressed in terms of 'nor',
(or in terms of 'nand')

If 'nor' is primitive:

1. not(p) =df (p nor p)
2. (p or q) =df not(p nor q)
3. (p and q) =df not(not(p) or not(q))
4. (p nand q) =df not(p and q)
5. (p only if q) =df (not(p) or q)
6. (p if q) =df (p or not(q))
7. (p if and only if q) =df (p if q) and (p only if q)
8. (p xor q) =df not(p if and only if q).

1a. ~p <-> (p nor p)
2a. (p v q) <-> ~(p nor q)
3a. (p & q) <-> ~(~p v ~q)
4a. (p nand q) <-> ~(p & q)
5a. (p -> q) <-> (~p v q)
6a. (p <- q) <-> (p v ~q)
7a. (p <-> q) <-> ((p <- q) & (p -> q))
8a. (p xor q) <-> ~(p <-> q).

etc.
 
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