Teorie transformare baze

Teorie transformare baze

f(x) = transf din baza 16 in baza 10

f(123)=f(12)*16+3 =(1*16+2)*16 +3
f(12)=f(1)*16+2 =1*16+2
f(1)=1

B16 --> B10
2E5F9 = (((2*16^1 +14)*16^1 + 5*)16^1 + 15)*16^1 + 9
            4       3         2          1         0

      = 2*
(2E5F9)16=(43210)10


5123=((5*16^1 +1)*16^1 + 2)*16^1 + 3


4321=4000+300+20+1=((4*10+3)*10+2)*10+1

B2 --> B10

11011=1*2^4+1*2^3+0*2^2+1* 2^1+1*2^0
43210
0	0
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	8
9	9
A	10
B	11
C	12
D	13
E	14
F	15
10

(73)10 = (?)16

73:16	9*1	nr=nr+c*p
4:16	4*10
0

(73)10 = (49)16