Question

Efectuați în baza 2-a 37 59 70​

Answer 1

 

$\displaystyle\bf\\Scriem~numerele~ca~suma~de~puteri~ale~lui~2.\\\\37=32+4+1\\37=2^5+2^2+2^0\\37=1\cdot2^5+0\cdot2^4+0\cdot2^3+1\cdot2^2+0\cdot2^1+1\cdot2^0\\\boxed{\bf37_{(10)}=100101_{(2)}}\\\\\\59=32+16+8+2+1\\59=2^5+2^4+2^3+2^1+2^0\\59=1\cdot2^5+1\cdot2^4+1\cdot2^3+0\cdot2^2+1\cdot2^1+1\cdot2^0\\\boxed{\bf59_{(10)}=111011_{(2)}}\\\\\\70=64+4+2\\70=2^6+2^2+2^1\\70=1\cdot2^6+0\cdot2^5+0\cdot2^4+0\cdot2^3+1\cdot2^2+1\cdot2^1+0\cdot2^0\\\boxed{\bf70_{(10)}=1000110_{(2)}}$