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Nintendo claims that it violates intellectual properties
Not currently.
Some brands of hand held/portable consoles include the Nintendo Gameboy, Playstation Portable, PSP Go, Nintendo DS, Nintendo 3DS and many others but aren't as popular as these two franchises.
No there is no such thing. There is currently on the market a Nintendo wii and an xbox 360
Not currently.
No there is currently no way to hook up a Nintendo Ds to a Nintendo Wii system.
Of Nintendo's current generation of consoles the Nintendo Ds version is the lowest priced at $99.99
Nintendo has not disclosed any information for the actual specifications of the Nintendo Switch so it is currently unknown
The Nintendo 3DS currently has three different type of models each at different prices. MSRP is currently as of July 2014 Original Nintendo 3DS: $169.99 (CAD/USD) Nintendo 3DS XL: $199.99 (CAD/USD) Nintendo 2DS: $129.99 (CAD/USD)
Mario and Pokémon are both franchises from Nintendo. However, is not possible to play as Mario in a Pokémon game.
No, Pokémon Red is not currently available on Nintendo DS.
No, there isn't currently a Nintendo DSi phone, and to be honest, I don't think there ever will be one.