Sunday, February 24, 2008

Computer Math!

1.
1.1011=(2^3)+(2^1)+(2^0)=8+2+1=11
2.101010=(2^5)+(2^3)+(2^1)=32+8+2=42
3.11111=(2^4)+(2^3)+(2^2)+(2^1)+(2^0)=16+8+4+2+1=31
4. 10010=(2^1)+(2^4)=2+16=18

2.

1. 31=(2^4)+(2^3)+(2^2)+(2^1)+(2^0)=0011111
2.51=(2^5)+(2^4)+(2^2)+(2^1)=110011
3.7=(2^2)+(2^1)+(2^0)=111
4.103=(2^6)+(2^5)+(2^2)+(2^1)+(2^0)=1100111

3.

1. (56 kb/s)/(8)=(7 KB/s)=(.007MB/s)
(1s/.oo7MB)=(142s/MB)*(100MB)=14,200s=236min=apprx. 4hrs

2.(5mb/s)/(8)=(.625MB/s)
(1s/.625MB)=(1.6s/MB)*(100MB)=160s=2min 40s

3.(10mb/s)/(8)=(1.25MB/s)
(1s/1.25MB)=(.8s/MB)*(100)=1min 20s

4.
(3mb/s)=(.375MB/s)
(1s/.375MB)=(2.66s/MB)*(60)=(160s)=(3min 40s/MP3)
(40/60)=(.67)---->(60min/3.67min)=16 MP3/hour

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