Question

transformati din baza 2 in baza 10 numerele:
111110
101111
110111
e foarte urgent, va rog ​

Answer 1

 

$\displaystyle\bf\\Iti~dau~o~metoda~usor~de~invatat:\\\\\text{Numerotam cifrele numarului scris in binar}\\\text{de la dreapta la stanga incepand cu zero.}\\\\\textttbf{543210}\\\textttbf{111110}\\\\\textbf{Vom inmulti foecare cifra a numarului dat cu}\\\textbf{2 la puterea cifra de deasupra din numerotare.}\\\\111110_{(2)}=0\times2^0+1\times2^1+1\times2^2+1\times2^3+1\times2^4+1\times2^5=\\\\=2^1+2^2+2^3+2^4+2^5=\\\\2+4+8+16+32=\boxed{\bf62}$

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$\displaystyle\bf\\La~fel~le~rezolvam~si~pe~celelalte.\\\\\textttbf{543210}\\\textttbf{101111}\\\\101111_{(2)}=1\times2^0+1\times2^1+1\times2^2+1\times2^3+0\times2^4+1\times2^5=\\\\=2^0+2^1+2^2+2^3+2^5=\\\\1+2+4+8+32=\boxed{\bf47}\\\\\\\textttbf{543210}\\\textttbf{110111}\\\\110111_{(2)}=1\times2^0+1\times2^1+1\times2^2+0\times2^3+1\times2^4+1\times2^5=\\\\=2^0+2^1+2^2+2^4+2^5=\\\\1+2+4+16+32=\boxed{\bf55}$