I want to know about the power and the winter buttons. I want to know in the snow if I need to use the four wheel drive high or the four wheel drive low. I have a 1998 Honda Passport 4x4 automatic transmission.

Winter season means extra care. Just as you wear extra layers of clothes to stay safe from the cold, your car also needs additional preparation to make it through the winter season. Your car also needs extra care. Here are some link which will guide you to take care of your car, have a look
=> Ways to prepare your car for winters
=> How to Prepare Car for Winter Driving

Andrew, in automatic equipped vehicles with winter/wet mode selection, I believe it starts vehicle off in a higher gear to prevent wheel spin. Your manual should explain what winter/wet mode is.
Check the attached links,instruction and guides, Good luck
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Winter Mode Button Volvo Forums Volvo Enthusiasts Forum
http://www.volvoxc.com/forums/archive/index.php/t-4.html
http://www.edmunds.com/driving-tips/the-basics-of-driving-a-volvo-in-the-snow.html
What is the exact function of the Winter and Wet feature on the gear shift...

Yes 4x4 doesn't mean all 4 turn the power goes where it turns the easiest it could need new clutches in the diffs

you have a lever or switch that engages 2wheel normal driving 4 wheel high for wet slippery conditions ,then you have four wheel low for real muddy and deep snow conditions
normally change from 2 wheel to four wheel high on the move .important nearly all 4 wheel drive vehicles must be stopped to engage low otherwise do damage to transmission

The three buttons are "W" - Winter is where it shifts straight into third gear so that you do not spin your tires in water or snow. "S" - Sport is for higher speeds such as passing, bad on mpg; and "E" - Economy is for daily driving. You can go into any of them on the fly, it's not like shifting into four wheeled drive.

Hope this helps (remember to rate this answert).

I believe the winter power button makes it so your truck starts in 2nd gear instead of 1st gear to reduce slipping and gain traction... It might do other things with 4 wheel drive. The whole point is to give you a better chance in the snow,

The basic explanation of these gears are as follows.
2up/2wd is a basic two wheel drive setting where the vehicle will react as a rear wheel drive. In this gear the transmission will only distribute power to the two rear wheels(best for all around driving with clear road conditions and will give the best fuel efficiency).
4up/4wd is a high speed four wheel drive setting. in this gear the transmission will always distribute power to all four wheels and will allow you to drive at higher rates of speed( good for poor road conditions when ice and wet roads are a moderate risk).
4dwn/4lo is a low gear four wheel drive setting where again the transmission will distribute power to all four wheels but will limit you to a low rate of speed(good for really rough roads and severe weather or very poor traction conditions).
auto gear selection is basically a all wheel drive setting, where the transmission will use a primary setting of rear wheel drive gearing until the vehicle slips or looses traction on one of the drive traction. as soon as the transmission detects a difference in wheel speed between the two rear wheels, at which time the transmission locks up the front differential turning itself into a four wheel drive, until the wheels have regained traction and remain spinning at the same speed for a set amount of time, at which time it will then unlock the front differential at return to a rear wheel drive setting. this is a good all around gear but will cause you to get slightly less mpg/kpg then a 2up/2wd gear would. i hope this helps

I believe '02 rodeo's have buttons for power mode and winter mode located between the shifter and the flip up console.You may have accidentally activated winter mode which cuts power to the drive wheels for driving in ice and snow.If so look on the instrument cluster and "winter mode" will be lit in green,simply push the button again to deactivate it while in PARK.Hope this helps ,good luck.

Use 2 wheels, the other 4wd low ,for climbing at slow speeds: 4wd high, for driving on low traction roads,like mud or snow,at medium speeds: 4wd auto full time all wheel drive, for highway speeds on slippery surfaces, like rain or light snow.

those buttons are for the transmission, power means that it will shift gears stronger with better take off and gear changes, winter is for slippery conditions it shifts smother and softer this way the truck wont loose control. some of these are automatic 4wheel drive the computer controls it, and some have a shifter on the floor with 2 wheeldrive then 4hi which is used in the snow and 4 low which should only be used to get unstuck or steep climb at low speeds.hope this helps.