Binary to Decimal (i) 1001(2) (ii) 1100.01(2) ~ Solved bca assignment

Wednesday, 27 February 2013

22:31 -

Binary to Decimal (i) 1001(2) (ii) 1100.01(2)

i) 1001 = 9

Conversion from Binary to Decimal:

1 x 2³+0 x 2²+0 x 2¹+1 x 2⁰

1 x 2 x 2 x 2+0 x 2 x 2 + 0 x 2 + 1x 1

8+0+0+1=9

ii) 1100.01 = 12.25

Conversion from Binary to Decimal of 1100

1 x 2³+1 x 2²+ 0 x 2¹+ 0 x 2⁰

1 x 2 x 2 x 2+ 1 x 2 x 2 + 0 x 2 + 0 x 1

8+4+0=12

Conversion from Binary to Decimal of .01

0 x 2^-1 + 1 x 2^-2

0 x 0 + 1 x 0.25

0 + 0.25=0.25