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Evaluating Logic Gates

Logic gates are functions which perform basic logic operations. In this problem, we will account for the following 6 logic gates: AND, OR, XOR, NAND, NOR, and XNOR. Each of these takes two boolean inputs \$ a \$ and \$ b \$, and outputs a boolean. Below are the truth tables which show the output of each gate given two inputs.

enter image description here

Task

Given two boolean inputs \$ a \$ and \$ b \$, return/output a list of the names of all gates which would return a Truthy value. The order doesn't matter, but the names must be in the exact format as given in the 2^nd sentence of the above paragraph (not the ones in the diagram). You are also allowed to output them exclusively in lowercase, if desired.

Clarifications

You may also output a delimiter-separated string
I will allow leading/trailing spaces

Test Cases

Input

Output

[NOR, NAND, XNOR]
[OR, NAND, XOR]
[OR, NAND, XOR]
[OR, AND, XNOR]

This is code-golf, so the shortest code in bytes wins!

Answer*

# [J], <sup><s>39</s></sup> 37 bytes

 [:;(_5<\'NAND NOR XNOR')}.~&.>*,+.,~:

[Try it online!][TIO-k9jalxfo]

[J]: http://jsoftware.com/
[TIO-k9jalxfo]: https://tio.run/##y/qvpKeepmBrpaCuoKNgoGAFxLp6Cs5BPm7/o62sNeJNbWLU/Rz9XBT8/IMUIoCEumatXp2anp2WjraeTp3Vf00urtTkjHygvjQFAwTTEMI0RIiCmIb/AQ "J – Try It Online"

<sup>-2 bytes thanks to @Jonah.</sup>

A solution that pretty much works like [Surculose Sputum's Python 3 answer](https://codegolf.stackexchange.com/a/203983/78410).

### How it works

 NB. The three segments in the new version
 _5<\'NAND NOR XNOR'
 'NAND NOR XNOR' NB. a length-13 string
 _5<\ NB. enclose non-overlapping length-5 chunks
 (which works because the three N's to filter appear at indexes 0, 5, 10)

 NB. Previous version
 [:;('NAND ';'NOR X';'NOR')}.~&.>*,+.,~: NB. Input: two bits as left/right args
 *,+.,~: NB. evaluate AND, OR, XOR
 ('NAND ';'NOR X';'NOR') NB. corresponding three segments
 &.> NB. pair up both sides unboxed and
 }.~ NB. drop the first char from left if right is 1
 [:; NB. Remove boxing and concatenate into a single vector

If this is an answer to a challenge…

…Be sure to follow the challenge specification. However, please refrain from exploiting obvious loopholes. Answers abusing any of the standard loopholes are considered invalid. If you think a specification is unclear or underspecified, comment on the question instead.
…Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one. Explanations of your answer make it more interesting to read and are very much encouraged.
…Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.

More generally…

…Please make sure to answer the question and provide sufficient detail.
…Avoid asking for help, clarification or responding to other answers (use comments instead).

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\$\begingroup\$ 37 bytes \$\endgroup\$

Jonah
– Jonah

2020年04月28日 02:25:11 +00:00
Commented Apr 28, 2020 at 2:25
1

\$\begingroup\$ @Jonah Nice. I knew that the N's are at nice positions, but somehow I missed that one. \$\endgroup\$

Bubbler
– Bubbler

2020年04月28日 02:40:34 +00:00
Commented Apr 28, 2020 at 2:40

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