Question

213 in baza 4 = 124 in baza 5 explicatie pas cu pas va rog ​

Answer 1

$\displaystyle\bf\\Verificam~daca:\\\\213_{(4)}=124_{(5)}\\\\Le~transformam~pe~ambele~in~baza~10.\\\\Numerotam~fiecare~cifra.\\\\\\\overset{2}{2}\overset{1}{1}\overset{0}{3}_{(4)}=3\times4^0+1\times4^1+2\times4^2 =\\=3\times1+1\times4+2\times16=3+4+32=\boxed{\bf39_{(10)}}\\\\\overset{2}{1}\overset{1}{2}\overset{0}{4}_{(5)}=4\times5^0+2\times5^1+1\times5^2 =\\=4\times1+2\times5+1\times25=4+10+25=\boxed{\bf39_{(10)}}\\\\39_{(10)}=39_{(10)}\\\\\implies~~\boxed{\bf213_{(4)}=124_{(5)}=39_{(10)}}$