# What logic expression and gate is this?

#### AshMan9292

Joined Jun 22, 2020
2
 A B Y 0 0 0 0 1 1 1 0 0 1 1 1

#### WBahn

Joined Mar 31, 2012
26,073
This is not the Homework Done For You forum. As you were told in your other thread, you need to show your best attempt to work your homework. We can then help you get past what you are stuck on so that YOU can proceed further.

#### MrChips

Joined Oct 2, 2009
21,671
Here is a hint.
Look at your data. What do you see?

#### crutschow

Joined Mar 14, 2008
25,269
Perhaps we should rename the Forum "Homework Help - Not do it for you".

#### OBW0549

Joined Mar 2, 2015
3,511
Perhaps we should rename the Forum "Homework Help - Not do it for you".
Nah. Too many big words.

#### jpanhalt

Joined Jan 18, 2008
10,102

#### Papabravo

Joined Feb 24, 2006
14,250
We might as well get used to the idea that we are not a welcoming place for people who lack intuition and can't seem to help themselves. It is probably better that way.

#### MrAl

Joined Jun 17, 2014
7,759
Hi,

How about "Homework Instantiated By Yourself".
Or
"Homework Help After You Have Tried Already"

Now back to the original poster's question...

Try writing an expression for each output based on the two inputs A and B. Then examine the expressions and see what you can do with it then.
For example (this is not an answer to your problem) a three input system:
A+B*C=Y
A*B+C=Y

Then examine the expressions and see if you can reduce. The example may or may not be reducible.

#### MrChips

Joined Oct 2, 2009
21,671
I did this as an exercise to myself in my first course in Digital Electronics.

For any two input logic, there are 16 possible functions of Y(A,B).
See if you can identify all 16 functions.

#### Papabravo

Joined Feb 24, 2006
14,250
I did this as an exercise to myself in my first course in Digital Electronics.

For any two input logic, there are 16 possible functions of Y(A,B).
See if you can identify all 16 functions.
The amazing thing was they all had cool names like Peirce arrow and Sheffer stroke. I don't think Spinal Tap was on the list.