When Zend_Db_Statement_Mysqli::_execute() prepares parameters types to bind before executing it does the next :

            array_unshift($params, str_repeat('s', count($params)));

And when a bit type column value is passed to the statement (for example by Zend_Db_Table_Abstract:insert(), the query will fail with "Data too long for column X".

Proposed solution:

There should be some basic parameter type checking, something like:

            $types='';
            $numParams=count($params);
            for($n=0;$n<$numParams;$n++) {
                if (is_numeric($params[$n])) {
                    if (is_double($params[$n])) {
                        $types.='d';            
                    }   
                    else {
                        $types.='i';
                    }
                } 
                else {
                    $types.='s';
                }
            }
            array_unshift($params, $types);