Answered Essay: An image is 1800 x 1400 pixels with 3 bytes/pixel. Assume the image is uncompressed. How long will it take

An image is 1800 x 1400 pixels with 3 bytes/pixel. Assume the image is uncompressed. How long will it take to transmit it over a 56-kbps modem channel? Over a 1-Mbps cable modem? Over 100-Mbps Ethernet? Over 10-Gbps Ethernet?

Expert Answer

 

1800 x 1400 pixels

1 pixels—————- 3 bytes

than 1800 x 1400 —————- 3 * 1800 x 1400 bytes

= 7,560,000 bytes

= 7,560,000 * 8 bits = 60480000 bits

At 56,000 bits/sec (56 kbps)

56,000 bits ————— 1 sec

60480000 bits —————- 60480000/56,000 = 1080 sec

At 1,000,000 bits/sec ( 1 MBPS)

1,000,000 bits —————–1 sec

60480000 bits —————– 60480000/1000000 = 60.48 sec

At 100,000,000 bits/sec ( 100 MBPS)

100,000,000 bits ———————— 1 sec

60480000 bits —————– 60480000/100,000,000 = 0.6048 sec

At 10000000000 bit/sec ( 10 GBPS)

10000000000 bit ————————- 1 sec

60480000 bits —————– 60480000/10000000000 = 0.006048 sec

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