Ultimate bf instruction minimalization!

Ultimate BF instruction minimalization! or UBFIM is a BF derivative with only 3 instructions made by BF enthusiast User:Wh1teWolf December 12, 2009. It uses an infinite tape for storage, each cell restricted to a 1-bit value. The language is the successor of Minifuck which may have 3 or 4 instructions (the description is vague as to whether no-op characters are instructions). It also has a resemblance to iag which had similar motivations.

Specifications

Commands

< = Move pointer one cell to the left. (If pointer is currently over the first bit, do nothing.)
( = Move to next bit and flip it, skip next instruction if zero.
any other character = No-op instruction.

Programs written in UBFIM are contained within a single Brainfuck loop, so if at the end of the program the current bit is non-zero, go back to the start.

Memory mapping

• Cell 2 = Set to 1 to perform input/output. If all I/O bits are empty perform input, else do output. Afterwards I/O cell 2 is set back to zero.
• Cell 3 = Pointer is here on program start.
• Cell 4-11 = I/O bits

Examples

Infinite loop

This is an infinite loop because as previously stated, every UBFIM program is placed inside a brainfuck loop,
and as long as the bit under the pointer is non-zero the program will repeat itself.

Cat

(<(< (<(<( (<(<( (<(<( (<(<( (<(<( (<(<( (<(<(    Zero out the I/O bits, and maybe some more. This line is not necessary the first time the program is run.
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<      We move back many times just to make sure we have reached all the way to the first bit.

(       now cell 2 is set to 1. That means I/O, and since the I/O bits is all zero it performs input.
<(     set cell 2 to 1 again and output the inputted value.
(<(    go to cell 3 without changing its value.
Since this is the end of the program and the current bit is non-zero the program gets executed again.