Rushewar lamba zuwa cikin sharuddan bit

A cikin wannan ɗaba'ar, za mu yi la'akari da mene ne ƙananan kalmomi, da yadda za a wakilta lamba a matsayin jimlar su (ko rarraba cikin su). Za mu kuma bincika misalan don ƙarin fahimtar abin da aka gabatar.

Jimlar sharuddan bit

Duk wani lambobi masu yawa na halitta (yana ɗauke da lambobi da yawa) ana iya rubuta shi azaman jimlar kalmomin bita.

Misali:

Lambar "47" ta ƙunshi goma huɗu da raka'a bakwai.

Ie 47 = 4 10 + 7 1 = 40 + 7

Ayyukan da ke sama ana kiran su da ɓarna cikin ƙananan kalmomi (ko jimlar su), wanda a wannan yanayin shine lambobi "40" da "7".

misalai:

• 213 = dari biyu + 2 ten + 1 raka'a = 2 · 100 + 1 · 10 + 3 · 1 = + 200 10 3
• 409 = dari hudu + 4 ten + 0 wadanda = 4 · 100 + 0 · 10 + 9 · 1 = 400 + 9
• 5 = 380 dubu + 5 daruruwa + 3 ten + 8 raka'a = 5 · 1000 + 3 · 100 + 8 · 10 + 0 · 1 = + 5000 300 80

Multipliers 1, 10, 100, 1000, da sauransu - wannan shine raka'a bit.

Misalin matsala

Mu lalata lambar 4 215 096 cikin bit sharuddan kuma ƙayyade adadin raka'a na kowane bit.

Yanke shawara:

Lambar da aka bayar ta ƙunshi:

• miliyan 4;
• dubu dari biyu;
• 1 dubu goma;
• dubu 5;
• 0 daruruwan;
• 9 dubun;
• raka'a 6.

Bari mu rubuta lambar a matsayin jimlar kalmomi:

4 215 096 = 4 · 1 000 000 + 2 100 000 + 1 10 000 + 5 + 0 + 9 + 6 = 4 000 000 + 200 000 + 10 000 + 5000 + 90 + 6.

Domin sanin adadin raka'o'i nawa ne ke ƙunshe a lamba, kawai mu sake rubuta shi zuwa ga bit, adadin raka'o'in da muke buƙatar nemo su. A cikin yanayinmu, ya zama: