diumenge, 22 de novembre del 2009

Pas binari a decimal

-EX: 1

n=7

d=4

i=-4

(1x2-4)+(0x2-3)+(1x2-2)+(0x2-1)+(0x20)+(1x21)+(0x22)+(0x23)+(1x24)+(0x25)+(1x26)+(0x27)=

=(1x0,0625)+(0x0,125)+(1x0,25)+(0x0,5)+(0x1)+(1x2)+(0x4)+(0x8)+(1x16)+(0x32)+(1x64)+ (0x128)=

0,0625+0,25+2+16+64=82,3125

-EX : 2

n=6

d=3

i=-3

(1x2-3)+(1x2-2)+(1x2-1)+(1x20)+(0x21)+(0x22)+(1x23)+(0x24)+(1x25)+(1x26)=

=(1x0,125)+(1x0,25)+(1x0,5)+(1x1)+(0x2)+(0x4)+(1x8)+(0x16)+(1x32)+(1x64)=

=0,125+0,25+0,5+1+8+32+64=105,875

-EX: 3

n=4

d=4

i=-4

(1x2-4)+(0x2-3)+(0x2-2)+(1x2-1)+(1x20)+(0x21)+(0x22)+(1x23)+(0x24)=

=(1x0,0625)+(0x0,125)+(0x0,25)+(1x0,5)+(1x1)+(0x2)+(0x4)+(1x8)+(0x16)=

=0,0625+0,5+1+8=9,5625

-EX: 4

n=6

d=3

i=-3

(1x2-3)+(1x2-2)+(0x2-1)+(0x20)+(0x21)+(1x22)+(0x23)+(0x24)+(1x25)+(1x26)=

=(1x0,125)+(1x0,25)+(0x0,5)+(0x1)+(0x2)+(1x4)+(0x8)+(0x16)+(1x32)+(1x64)=

=0,125+0,25+4+32+64=100,375

-EX: 5

n=6

d=3

i=-3

(1x2-3)+(0x2-2)+(1x2-1)+(1x20)+(1x21)+(0x22)+(1x23)+(0x24)+(1x25)+(0x26)=

=(1x0,125)+(0x0,25)+(1x0,5)+(1x1)+(1x2)+(1x4)+(1x8)+(1x16)+(1x32)+(0x64)=

=0,125+0,5+2+8+32=42,625

-EX: 6

n=7

d=2

i=-2

(1x2-2)+(0x2-1)+(0x20)+(1x21)+(0x22)+(0x23)+(0x24)+(1x25)+(0x26)+(1x27)=

=(1x0,25)+(0x0,5)+(0x1)+(1x2)+(0x4)+(0x8)+(0x16)+(1x32)+(0x64)+(1x128)=

= 0,25+2+32+128=162,25

-Ex: 7

n=1

d=4

i=-4

(1x2-4)+(0x2-3)+(1x2-2)+(0x2-1)+(1x20)=

=(1x0,0625)+(0x0,125)+(1x0,25)+(0x0,5)+(1x1)=

=0,0625+0,25+1=1,3125

-EX: 8

n=6

d=4

i=-4

(1x2-4)+(1x2-3)+(0x2-2)+(1x2-1)+(0x20)+(1x21)+(1x22)+(0x23)+(1x24)+(0x25)+(0x26)=

=(1x0,0625)+(1x0,125)+(0x0,25)+(1x0,5)+(0x1)+(1x2)+(1x4)+(0x8)+(1x16)+(0x32)+(0x64)=

=0,0625+0,125+0,5+2+4+16=22,6875

-EX: 9

n=6

d=3

i=-3

(1x2-3)+(1x2-2)+(1x2-1)+(1x20)+(1x21)+(0x22)+(0x23)+(0x24)+(1x25)+(0x26)=

=(1x0,125)+(1x0,25)+(1x0,5)+(1x1)+(1x2)+(0x4)+(0x8)+(0x16)+(1x32)+(0x64)=

=0,125+0,25+0,5+1+2+32=35,875

-EX: 10

n=6

d=2

i=-2

(1x2-2)+(1x2-1)+(1x20)+(0x21)+(0x22)+(1x23)+(0x24)+(0x25)+(0x26)=

=(1x0,25)+(1x0,5)+(1x1)+(0x2)+(0x4)+(1x8)+(0x16)+(0x32)+(0x64)=

=0,25+0,5+1+8=9,75

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