Upon request from multiple moderators/experts, this question has been split into two identical questions, one for each of the two main versions of Minecraft. This question is for solutions for Java Edition. If you have a solution for Bedrock Edition, please post it here.

I am creating a redstone contraption that is based off an RS-NOR latch and a T-flip-flop at once.
The contraption needs to have three pulse-based inputs and one output.

Here are the inputs and their descriptions of what they should do:

• "On" button: Turn the output on, or keep it on if it is already on.
• "Off" button: Turn the output off, or keep it off if it is already off.
• "Toggle" button: Toggle the state of the output, no matter what state it was in before.

The toggle button should provide only a temporary inversion, with the next button press acting as normal.

Here are the questions I would like to have answered:

• Should my redstone contraption be based off a T-flip flop, a RS-NOR latch, or neither?
• What is the most compact way to construct a redstone contraption like this?

Please include images with your solution.

SR latches and T-flip-flops are trivial circuitry in Minecraft redstone, but it appears that there is little to be found for a circuit that combines both, allowing for both SR and T functionality.

I envision an SR-T latch to have set, reset, and toggle inputs respectively, but all connected to the same memory cell. This means that the output can be controlled by setting it, resetting it, and toggling it all at once. Just like an SR latch, pressing S or R when the cell is already in that state should do nothing.

All of my circuitry so far has been "unclean" implementations, either a bodged wiring to add a toggle to an SR latch, or bodged wiring to add SR inputs to a T-flip-flop. What is the best way to go about making such a latch?

See also: Same question for Bedrock Edition (originally one question; separated upon request from others)

Upon request from multiple moderators/experts, this question has been split into two identical questions, one for each of the two main versions of Minecraft. This question is for solutions for Java Edition. If you have a solution for Bedrock Edition, please post it here.

I am creating a redstone contraption that is based off an RS-NOR latch and a T-flip-flop at once.
The contraption needs to have three pulse-based inputs and one output.

Here are the inputs and their descriptions of what they should do:

• "On" button: Turn the output on, or keep it on if it is already on.
• "Off" button: Turn the output off, or keep it off if it is already off.
• "Toggle" button: Toggle the state of the output, no matter what state it was in before.

Here are the questions I would like to have answered:

• Should my redstone contraption be based off a T-flip flop, a RS-NOR latch, or neither?
• What is the most compact way to construct a redstone contraption like this?

Please include images with your solution.

Upon request from multiple moderators/experts, this question has been split into two identical questions, one for each of the two main versions of Minecraft. This question is for solutions for Java Edition. If you have a solution for Bedrock Edition, please post it here.

I am creating a redstone contraption that is based off an RS-NOR latch and a T-flip-flop at once.
The contraption needs to have three pulse-based inputs and one output.

Here are the inputs and their descriptions of what they should do:

• "On" button: Turn the output on, or keep it on if it is already on.
• "Off" button: Turn the output off, or keep it off if it is already off.
• "Toggle" button: Toggle the state of the output, no matter what state it was in before.

The toggle button should provide only a temporary inversion, with the next button press acting as normal.

Here are the questions I would like to have answered:

• Should my redstone contraption be based off a T-flip flop, a RS-NOR latch, or neither?
• What is the most compact way to construct a redstone contraption like this?

Please include images with your solution.

Upon request from multiple moderators/experts, this question has been split into two questions. This question is for solutions for the Java Edition of Minecraft. If you have a solution for Bedrock Edition, please post it here.

I am creating a redstone contraption that is based off an RS-NOR latch and a T-flip-flop at once.
The contraption needs to have three pulse-based inputs and one output.

Here are the inputs and their descriptions of what they should do:

• "On" button: Turn the output on, or keep it on if it is already on.
• "Off" button: Turn the output off, or keep it off if it is already off.
• "Toggle" button: Toggle the state of the output, no matter what state it was in before.

Here are the questions I would like to have answered:

• Should my redstone contraption be based off a T-flip flop, a RS-NOR latch, or neither?
• What is the most compact way to construct a redstone contraption like this?

Please include images with your solution.

Upon request from multiple moderators/experts, this question has been split into two identical questions, one for each of the two main versions of Minecraft. This question is for solutions for Java Edition. If you have a solution for Bedrock Edition, please post it here.

I am creating a redstone contraption that is based off an RS-NOR latch and a T-flip-flop at once.
The contraption needs to have three pulse-based inputs and one output.

Here are the inputs and their descriptions of what they should do:

• "On" button: Turn the output on, or keep it on if it is already on.
• "Off" button: Turn the output off, or keep it off if it is already off.
• "Toggle" button: Toggle the state of the output, no matter what state it was in before.

Here are the questions I would like to have answered:

• Should my redstone contraption be based off a T-flip flop, a RS-NOR latch, or neither?
• What is the most compact way to construct a redstone contraption like this?

Please include images with your solution.