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1. Use the keyboard - 1 for 128, 2 for 64, and so on down to 8 for 1, and space for submit. Takes some time to get used to, but you end up saving a couple seconds and that can be useful on level 7.
2. Think in base 16. By this, I mean that you should, for example, intuit that 213 = 13 x 16 + 5, and use that to input into Binary Racer, rather than working out that 213 = 128 + 64 + 16 + 4 + 1. This does mean that you should be familiar with the binary representations of 0-15 and the 16 times tables up to 16 x 15 (= 240). Knowledge of both does come to you naturally as you grind out Binary Racer, but you should be actively learning your 16 times tables.
3. Make usage of the timerless mode. You can't get the achievement on timerless, but it does help you practice the above two skills.
XOR gate can be implemented with a gate score of 3 using one NAND, one OR, and one AND.
MUX can be done with a gate score of 17.
My solution for Binary Counter uses:
1 MUX
3 Byte Splitters
6 AND
7 XOR
1 NOT
https://pastebin.com/raw/EkJZcP9D
Actually, I did it as a human. It is very possible. You just have to recognize binary patterns in your head.
You also have more time in level 7 than in 6, which is helpful.
I updated the java clicker so that it starts by presenting a screenshot to the user and asking him to click on the buttons.
That way ther's no need to edit the buttons location in the code anymore.
I also added a click on the "start" button so that you just have to hit enter and use the bot
(just click on any button before running the bot so that you can see the "submit" button on the screenshot).
Here is the source code : https://pastebin.com/2v8unKEN
(Sorry for repost. I changed the code and I can't find how to edit comments)