Question

efectuati :
a) A=1(2)+10(2)+100(2)+...+100...00(2)
99de 0
in paranteze este sistemul binar
la 100...00(2) sunt 99 de 0

Answer 1

A=1(2)+10(2)+100(2)+...+100...00(2),   99de 0

transformam in baza 10

A=1+2+2²+2³+…..+2⁹⁹

A=2¹⁰⁰-1

Am utilizat formula:

1+a+a²+a³+…..+aⁿ=[a^(n+1)-1]/(a-1)