Generate breadcrumb based on a given Path
It really depends on what module/configuration you are using to generate the breadcrumb, sometimes some basic configuration is set in the base theme you are using as well, you might wanna check that out in your page.tpl.php file. basically your question is so vague it's hard to answer.

but mostly in most of themes the breadcrumb is being generated like this:

Home &gt; Node title

Home &gt; Taxonomy Term &gt; Node title