Taipei-based Bit Corporation (also known in Chinese as 普澤 Pu Ze, or "Puzzy" as it was sometimes amusingly romanised) was one of the first Taiwanese videogame companies (despite claims to the contrary, I have yet to see any evidence they were based in Korea), mainly making cloned hardware and somewhat original games. As with most Taiwanese game companies of the 80s and 90s, information, even in Chinese, is scarce - this page is a pretty much half-arsed overview of what I can piece together about the history of the company.
Bit developed console games throughout most of the 80s, mainly for the Atari 2600 and NES/Famicom. I don't know much about the 2600 stuff, and to be honest I'm trying not to care too much - this would be a good place to start if you're interested, though.
Their NES games were distributed in Australia and Brazil via local unlicensed publishers, and presumably in Taiwan by themselves. These included Duck, aka Duck Maze (a Penguin Land clone, I believe was the first ever unlicensed software released for the Famicom, although it's tricky to say for sure), Jackpot (slot machines), Crime Busters (a lightgun game), Othello (othello), and some poker game with a Chinese name I can't remember. Possibly some of these may have been developed by other companies for Bit, but I'm totally not sure about that. ROMs of all of them are available, so if you want to try them, go nuts. Duck is probably the best of the lot, mainly because it's the least lazy.
Bit produced a number of clone systems in the 80s, including Atari 2600 clone called the "Amigo" (which was sold in Europe), a combo SG1000 and Colecovision clone (Dina 2-in-1, distributed by Telegames in Australia, see here for more info), a 2600 clone that looked like a Famicom, a Famicom clone that looked like a Famicom, and a Famicom clone that looked like a Master System. This blog has a few pics and (Chinese) info on them.
They also made two computers, the Bit-60 and Bit-90 - apparently the Bit-60 was compatible with 2600 games, and the Bit-90 was compatible with Colecovision games... which might have made it quite similar to an MSX, I suppose. Or maybe not. There are plenty of sites devoted to old computers that have more information on these two, maybe google them or something. I know, I'm helpful like that. In 1990, though, Nintendo's success with the Game Boy was impossible to ignore, and rather than simply entering the GB software market as they had with previous popular consoles, Bit released a competitor: the Gamate. Which is what the rest of this section is about, as you may have noticed.
As far as I can tell, the Gamate completely and spectacularly bombed in pretty much every market it was released in - pretty much the Gizmondo of 1990, only with more games and less Swedish mafia involvement. It was even outsold by the Supervision (if eBay is anything to go by) despite having, in my opinion, slightly better games. As for Bit Corp, they seem to have disappeared after 1991, and officially closed in 1992 due to "operational difficulties". It may have been the Gamate that killed them - which is a shame - but its story doesn't end there. Oh no.