{"id":540,"date":"2019-12-14T00:01:10","date_gmt":"2019-12-13T22:01:10","guid":{"rendered":"http:\/\/skolarbbos.net\/?p=540"},"modified":"2019-12-22T18:17:25","modified_gmt":"2019-12-22T16:17:25","slug":"primer-testa","status":"publish","type":"post","link":"https:\/\/skolarbbos.net\/?p=540","title":{"rendered":"Primer testa"},"content":{"rendered":"

1.Pretvori dekadni broj u binarni: 4310<\/sub> = ?2<\/sub><\/strong><\/p>\n

43 : 2 = 21 \u2192 ostatak 1<\/p>\n

21 : 2 = 10 \u2192 ostatak 1<\/p>\n

10 : 2 = 5 \u2192 ostatak 0<\/p>\n

5 : 2 = 2 \u2192 ostatak 1<\/p>\n

2 : 2 = 1 \u2192 ostatak 0<\/p>\n

1 : 2 = 0 \u2192 ostatak 1<\/p>\n

4310<\/sub> = 1010112<\/sub><\/p>\n

2. Saberi brojeve: 101112<\/sub> i 1100002.<\/sub><\/strong><\/p>\n

101112<\/sub> i 1100002<\/sub> je:<\/p>\n\n\n\n\n\n\n
<\/td>\n<\/td>\n1<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n1<\/td>\n<\/tr>\n
+<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n=<\/td>\n<\/tr>\n
1<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

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

101112<\/sub> +1100002<\/sub> = 10001112<\/sub><\/p>\n

3. Oduzmi brojeve: 110100112<\/sub> i 101100112<\/sub><\/strong><\/p>\n

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

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

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

4. Pomno\u017ei brojeve: 11002<\/sub> i 11012<\/sub><\/strong><\/p>\n

Proizvod binarnih brojeva 11002<\/sub> i 11012<\/sub> je:<\/p>\n\n\n\n\n\n\n\n\n\n\n
1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n*<\/span><\/td>\n1<\/td>\n1<\/td>\n0<\/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>\n<\/td>\n<\/td>\n<\/td>\n<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n0<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n<\/td>\n<\/td>\n<\/tr>\n
<\/td>\n<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n<\/td>\n<\/td>\n<\/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>\n1<\/td>\n0<\/td>\n0<\/td>\n1<\/td>\n1<\/td>\n1<\/td>\n0<\/td>\n0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

To zna\u010di da je 11002<\/sub>\u00a0*11012<\/sub> = 100111002<\/sub>.<\/p>\n

5. Broj 1010102<\/sub>, pretvori u: a) dekadni, b) oktalni i c) heksadekadni oblik.<\/strong><\/p>\n

a)<\/strong> 1010102<\/sub> \u00a0\u00a0\u00a0\u00a0\u00a0= 1 \u00b725<\/sup> +0\u00b724<\/sup> +1\u00b723<\/sup> +0\u00b722<\/sup> +1\u00b721<\/sup> +0\u00b720<\/sup> =<\/p>\n

= 32 + 0 + 8 + 0 + 2 + 0 =<\/p>\n

= 42 10<\/sub><\/p>\n

b)<\/strong> 1010102<\/sub> = 101 010<\/p>\n

101\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1 * 22<\/sup> + 0 * 21<\/sup> + 1 * 20<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 5<\/p>\n

010\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0 * 22<\/sup> + 1 * 21<\/sup> + 0 * 20<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0=\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

= 528<\/sub><\/p>\n

c)<\/strong> 1010102<\/sub> = 0010 1010<\/p>\n

0010\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0 0 * 23<\/sup> + 0 * 22<\/sup> + 1 * 21<\/sup> + 0 * 20<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2<\/p>\n

1010\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0 1 * 23<\/sup> + 0 * 22<\/sup> + 1 * 21<\/sup> + 0 * 20<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0=\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10\u00a0\u00a0 (A)<\/p>\n

= 2A16<\/sub><\/p>\n

6. Broj 378<\/sub> pretvori u: a) dekadni, b) binarni i\u00a0c) heksadekadni oblik.<\/strong><\/p>\n

a)<\/strong> 378<\/sub> \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0= 3 \u00b781<\/sup> +7\u00b780<\/sup> =<\/p>\n

= 24 + 7 =<\/p>\n

= 3110<\/sub><\/p>\n

b)<\/strong> 378<\/sub> = ?2<\/sub><\/p>\n

3\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1 \u00a0 \u2192 1<\/p>\n

1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0 \u00a0 \u2192 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ovo pi\u0161emo kao 011<\/p>\n

 <\/p>\n

7\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 3 \u00a0 \u2192 1<\/p>\n

3 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1 \u00a0 \u2192 1<\/p>\n

1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \/\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 = \u00a0 \u00a0 \u00a0 \u00a0 \u00a00 \u00a0 \u2192 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ovo pi\u0161emo kao 111<\/p>\n

 <\/p>\n

Pa je 378<\/sub> = 111112<\/sub><\/p>\n

c)<\/strong> 378<\/sub> = 111112<\/sub> = 0001 1111<\/p>\n

0001\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0 0 * 23<\/sup> + 0 * 22<\/sup> + 0 * 21<\/sup> + 1 * 20<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 1<\/p>\n

1111\u00a0\u00a0 \u00a0=\u00a0\u00a0\u00a0\u00a0\u00a0 1 * 23<\/sup> + 1 * 22<\/sup> + 1 * 21<\/sup> + 1 * 20<\/sup>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0=\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 15 (F)<\/p>\n

Pa je 378<\/sub> = 1F16<\/sub><\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"1.Pretvori dekadni broj u binarni: 4310 = ?2 43 : 2 = \n <\/a>","protected":false},"author":1,"featured_media":557,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[18],"tags":[],"class_list":["post-540","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\/540","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=540"}],"version-history":[{"count":3,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/posts\/540\/revisions"}],"predecessor-version":[{"id":1386,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/posts\/540\/revisions\/1386"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=\/wp\/v2\/media\/557"}],"wp:attachment":[{"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=540"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=540"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/skolarbbos.net\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=540"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}