Question

e f g h de la exercițiul 3 va rog

Answer 1

 

Explicatii:

Pentru a transforma un numar dintr-o baza oarecare in baza 10

iti propun urmatoarea metoda:

Numerotam fiecare cifra a numarului incepand cu 0 de la dreapta la stanga.

Fiecare cifra o inmultim cu baza la puterea numarului de ordine al cifrei.

Adunsm tostr produsele.

Rezolvare:

.

$\displaystyle\bf\\e)\\1201_{(3)}=\underset{3}{1}\underset{2}{2}\underset{1}{0}\underset{0}{1}=1\times3^3+2\times3^2+0\times3^1+1\times3^0=\\=27+18+0+1=\boxed{\bf46_{(10)}}\\\\\\f)\\1201_{(4)}=\underset{3}{1}\underset{2}{2}\underset{1}{0}\underset{0}{1}=1\times4^3+2\times4^2+0\times4^1+1\times4^0=\\=64+32+0+1=\boxed{\bf97_{(10)}}\\\\\\g)\\4201_{(5)}=\underset{3}{4}\underset{2}{2}\underset{1}{0}\underset{0}{1}=4\times5^3+2\times5^2+0\times5^1+1\times5^0=\\=500+50+0+1=\boxed{\bf551_{(10)}}$

.

$\displaystyle\bf\\h)\\32102_{(6)}=\underset{4}{3}\underset{3}{2}\underset{2}{1}\underset{1}{0}\underset{0}{2}=3\times6^4+2\times6^3+1\times6^2+0\times6^1+2\times6^0=\\=3888+432+36+0+2=\boxed{\bf4350_{(10)}}$