All snippets assume that the numbers are already loaded in cell 0 and 1 and that the pointer points to cell 0. I can add an atoi snippet later if that's required for the challenge. For now, you can try the code like this:

+[+>+<]

All snippets assume that the numbers are already loaded in cell 0 and 1 and that the pointer points to cell 0. I can add an atoi snippet later if that's required for the challenge. For now, you can try the code like this:

+[+>+<]

Explanation:

XOR, AND and OR all work in a similiar fashion: Calculate n/2 for each number and remember n mod 2. Calculate the logical XOR/AND/OR for the single bits. If the resulting bit is set, add 2^n to the result. Repeat that 8 times.

This is the memory layout I used:

 0      1        2        3      4        5         6        7
n1  |  n2  |  marker  |  n/2  |  0  |  counter  |  bit1  |  bit2  |

  8        9        10
temp  |  temp  |  result

Here's the source for XOR (numbers indicate where the pointer is at that time):

>>>>>
++++ ++++ counter
[
    -
    <<<<<

    divide n1 by two
    [ 0 
        -
        >>+ set marker 2
        << 0
        [->>->+<] dec marker inc n/2
        >> 2 or 4
        [->>>>+<<] 
        <<<<
    ]
    >>>
    [-<<<+>>>]
    <<

    divide n2 by two
    [ 1
        -
        >+ set marker 2
        < 1
        [->->+>>>>>] dec marker inc n/2
        > 2 or 9
        [->>>>>+>>]
        <<<< <<<< 
    ]
    >>[-<<+>>] 3

    >>> 6
     
    [->>+<<]>[>[-<->]<[->+<]]>  one bit xor 8

    [
        [-]<<< 5
        [->+>-<<] copy counter negative
        > 6
        [-<+>]
        +> 7
        ++++ +++  cell 6 contains a one and cell 7 how many bits to shift
        [-<[->>++<<]>>[-<<+>>]<]  2^n
        < 6
        [->>>>+<<<<]
        >> 8
    ]

    <<<
]

For left rotate, once again there is a marker in cell 2 to determine if 2n is zero, since you can only determine if a cell is non-zero directly. If so, a carry bit is written to cell 4 and later added to 2n. This is the memory layout:

0      1        2       3       4   
n  |  2n  |  marker  |  0  |  carry