Math!

1 - Convert the following binary numbers to both hexadecimal (base-16) and decimal (base-10)
a) 1011 = 8+0+2+1 = 11 (dec) = b (hex)
b) 10101 = 16+0+4+0+1 = 21 (dec) = 2a (hex)
c) 10010110 = 124+0+0+16+0+4+2+0 = 146 (dec) = 96 (hex)
d) 1111111 = 64+32+16+8+4+2+1 = 145 (dec) = 7f (hex)

2 - Convert the following decimal numbers to both binary (base-2) and hexadecimal (base-16)
a) 8 = 8+0+0+0 = 1000 (bin) = 8 (hex)
b) 63 = 32+16+8+4+2+1 = 111111 (bin) = 3F (hex)
c) 113 = 64+32+16+0+0+0+1 = 1110001 (bin) = 71 (hex)
d) 97 = 64+32+0+0+0+0+1 = 1100001 (bin) = 61 (hex)


3 - Suppose that we want to download a 200 MB file. How long will it take on each of the following connections?
a) A modem that can download at 56 kilobits/second = 7h 56m
b) A DSL connection that can download at 5 Megabits/second =
c) A high-speed connection that can download 10 Megabits/second = 2m 40s

4 - If we have an Internet connection that can upload 3 Megabits/second, and an MP3 is 60 Megabytes, how many MP3s can we upload in an hour? In a month (given a reliable connection)? 2m 40s per upload = 22.5 per hour = 16200 per month (30 days)