Question

7. Scrieți următoarele numere din baza 2 în baza 10: a) 11(2); b) 1011(2); c) 1100(2); e) 10111(2); f) 1101101(2); g) 10011(2) d) 11001(2);​

Answer 1

a. 11= 1×2¹+1×2⁰

=1×2+1×1

= 2+1

=3

b. 1011= 1×2³+0×2²+1×2¹+1×2⁰

= 1×8+0+1×2+1×1

= 8+2+1

=11

c. 1100= 1×2³+1×2²+0×2¹+0×2⁰

=1×8+1×4+0+0

=8+4

=12

e. 10111= 1×2⁴+0×2³+1×2²+1×2¹+1×2⁰

=1×16+0+1×4+1×2+1×1

=16+4+2+1

=23

d. 11001= 1×2⁴+1×2³+0×2²+0×2¹+1×2⁰

= 1×16+1×8+0+0+1×1

= 16+8+1

=25

f. 1101101= 1×2⁶+1×2⁵+0×2⁴+1+2³+1×2²+0×2¹+1×2⁰

= 1×64+1×32+0+1×8+1×4+0+1×1

= 64+32+8+4+1

=109

g. 10011= 1×2⁴+0×2³+0×2²+1×2¹+1×2⁰

= 1×16+0+0+1×2+1×1

= 16+2+1

= 19