To　explore　brain　areas　involved　in　Boolean　arithmetical　computation,　functional　magnetic　imaging　(fMRI)　was　performed　on　college　students　during　performance　of　Boolean　calculation　tasks.　For　the　Boolean　arithmetical　problems　relative　to　number-processing　tasks,　results　for　all　twelve　subjects　revealed　bilateral　activation　in　occipital　cortex　(areas　17　and　18),　frontal　cortex　(areas　6,　8,　9　and　46),　and　sub-lobar　areas.　Other　simultaneously　activated　regions　included　the　left　inferior　parietal　lobule,　postcentral　gyrus　and　superior　parietal　lobule.　Areas　activated　by　the　Boolean　mathematical　problems　associative　with　the　number-processing　in　fronto-parieto-occipital　network.　These　results　confirm　some　existing　hypotheses　regarding　the　cortical　network　of　arithmetic　processing,　invite　acquisition　of　complex　mental　problems,　and　suggest　basal　role　for　complex　mathematics.　©　2010　IEEE.