A particular DSL modem operates at 768 kbits/sec. How many bytes can it receive in 1 minute? USB 3.0 can send data at 5 Gbits/sec. How many bytes can it send in 1 minute?

a. 1.6 Kbytes/min

b. 10.417 Mbytes/min

Explanation:

a. The DSL modem operates at 768 Kbits/sec.

But,

    8 bits = 1 byte and 1 Kbit = 1 000 bits, so that:

       =

      = 96 000 bytes

Therefore, the modem operates at 96 Kbytes/sec.

The byte to be received in 1 minute can be calculated thus;

Since 60 seconds = 1 minute, then:

 =

  = 1600

 = 1.6 Kbytes/min

The modem receives 1.6 Kbytes/min

b. The USB sends 5 Gbits/sec.

But, 8 bits = 1 byte and 1 Gbit = 1000000000 bits so that:

=

= 625000000

= 0.625 Gbytes

The USB sends 0.625 Gbyte/sec.

Since 60 seconds = 1 minute, then:

=  

= 10416666.67

= 10.417 Mbytes/min

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