The function of prisms in binoculars is to give a properly orientated image. Without them the view would be upside down and reversed. There are two types; porro and roof prisms.
Porro prism systems have two right-angled pieces of glass set apart from each other, which means the objective lenses have to be further apart than the eyepieces - this gives the classic 'dog'leg' binocular shape.
Roof prism systems have the angular pieces of glass closely overlapping one another giving a more compact, streamlined shaped binocular.
The difference between binoculars with these different prism systems becomes obvious when handled. For the casual user, comfort is often the determining factor when choosing a binocular. Porro prism binoculars give a larger but steady platform for viewing and are often preferred by people with larger hands. The more streamlined design of roof prism binoculars allows the user to hold them with their arms tucked closely to the body for maximum steadiness. It also places the focus wheel conveniently at your fingertips for more comfortable, faster focusing - often preferred by people with smaller hands. Comfort is obviously a big issue when using your binoculars more regularly. But for extended or more professional use (especially when cost is a consideration) the prism systems need to be looked at more closely.
There are two types of glass used in binocular prisms,
BAK-7 (made from borosilicates) is often used in cheaper binoculars.
BAK-4 (crown barium) glass is of a higher density which greatly reduces light scattering within the prism, giving sharper and better defined images.
Of the two types of prisms, porro prism binoculars provide the better quality images for your money. This is due to the way the different prism systems reflect the light within the binocular - porro prisms lose less light in so giving the better image quality. You may see advertised roof prism systems with
'PC or phase-corrected coatings' - this is a special coating to greatly reduce light loss. But these binoculars come at a price: although the images they produce are as good as the best porro systems, they are some of the most expensive binoculars on the market.
Porro prisms also have a better stereoscopic or 3-dimensional view of the image than roof prism binoculars. But porro prism binoculars do have the disadvantage of requiring larger housing to fit the prisms in hence bulkier, heavier binoculars. There is often a trade off between mid-prices binoculars for the sharper images of porro or lighter, more comfortable roof prism - it's really down to your personal preference. When making a final decision on a binocular you will need to look at the other features of the model such as lens coatings, magnification and so on.