{"id":445,"date":"2019-11-22T16:30:40","date_gmt":"2019-11-22T14:30:40","guid":{"rendered":"http:\/\/skolarbbos.net\/?p=445"},"modified":"2019-12-12T10:41:20","modified_gmt":"2019-12-12T08:41:20","slug":"razlika-binarnih-brojeva","status":"publish","type":"post","link":"https:\/\/skolarbbos.net\/?p=445","title":{"rendered":"Razlika binarnih brojeva"},"content":{"rendered":"

Razlika binarnih brojeva 110100112<\/sub> i 101100112<\/sub> je:<\/p>\n\n\n\n\n\n\n
<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n<\/tr>\n
–<\/td>\n1<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n<\/tr>\n
<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n<\/tr>\n
<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

To zna\u010di da je<\/p>\n

110100112<\/sub>\u2212101100112<\/sub> = 1000002<\/sub><\/p>\n

Razlika binarnih brojeva 11000002<\/sub> i 101112<\/sub> je:<\/p>\n\n\n\n\n\n\n
<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
–<\/td>\n<\/td>\n<\/td>\n1<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n1<\/td>\n<\/tr>\n
<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n<\/tr>\n
<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

To zna\u010di da je<\/p>\n

11000002<\/sub>\u2212101112<\/sub> = 10010012<\/sub><\/p>\n

Od broja 100111 treba oduzeti broj 1011. Da bi bilo jasnije drugi broj dopunjujemo vode\u0107im 0 sa leve strane.<\/span><\/p>\n\n\n\n\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Oduzimanje zapo\u010dinjemo od mesta najmanje te\u017eine.<\/span><\/p>\n

Kod prve dve cifre jasno je da je 1 – 1 = 0 pa cifru 0 pi\u0161emo kao rezultat. Kod tre\u0107e cifre je 1 – 0 = 1 pa 1 pi\u0161emo kao rezultat.<\/span><\/p>\n\n\n\n\n\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Ali, kod \u010detvrte cifre od 0 treba oduzeti 1 \u0161to nije mogu\u0107e pa u tom slu\u010daju pozajmljujemo jednu jedinicu sa prvog slede\u0107eg mesta koje nema vrednost 0 (odnosno ima vrednost 1) a to je \u0161esta cifra prvog broja. Kada sa neke pozicije pozajmimo 1 i prebacimo na prvo slede\u0107e mesto manje te\u017eine, na tom mestu se dobija vrednost 2 (odnosno binarno 10).<\/span><\/p>\n\n\n\n\n\n\n
0
\n<\/span><\/td>\n		10
\n<\/span><\/td>\n		\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Kako jo\u0161 uvek nismo do\u0161li do odgovaraju\u0107eg mesta (\u010detvrta cifra) od pete cifre (koja trenutno ima vrednost 10, dekadno 2) pozajmimo 1 (na tom mestu ostaje 1) pa na mesto slede\u0107e manje te\u017eine dobijamo vrednost 10 (dekadno2). Sada mo\u017eemo da od 10 (dekadno 2) oduzmemo 1 pa dobijamo rezultat 1.<\/span><\/p>\n\n\n\n\n\n\n
0
\n<\/span><\/td>\n		1<\/span><\/td>\n10<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
\u00a0<\/span><\/td>\n\u00a0<\/span><\/td>\n1<\/span>
\n<\/span><\/td>\n		1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

Nadalje je postupak jasan pa je ukupan rezultat:<\/span><\/p>\n\n\n\n\n\n\n
0
\n<\/span><\/td>\n		1<\/span><\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n0<\/span><\/td>\n1<\/span><\/td>\n1<\/span><\/td>\n<\/tr>\n
0
\n<\/span><\/td>\n		1
\n<\/span><\/td>\n		1<\/span>
\n<\/span><\/td>\n		1<\/span><\/td>\n0<\/span><\/td>\n0<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"excerpt":{"rendered":"Razlika binarnih brojeva 110100112 i 101100112 je: 1 1 0 1 0 \n <\/a>","protected":false},"author":1,"featured_media":456,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[],"class_list":["post-445","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-binarni-sistemi"],"_links":{"self":[{"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/posts\/445","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=445"}],"version-history":[{"count":3,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/posts\/445\/revisions"}],"predecessor-version":[{"id":1495,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/posts\/445\/revisions\/1495"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/media\/456"}],"wp:attachment":[{"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=445"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=445"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=445"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}