Question

Ten 1024 x 1024 digital images with 64 shades of gray are to be transmitted at the rate of 1.049 x 10^5 bits/s. Approximately, how long will it take to complete the transmission?

a) 15 seconds
b) 20 seconds
c) 25 seconds
d) 30 seconds

Answer 1

To transmit ten 1024 x 1024 digital images with 64 shades of gray at a rate of 1.049 x 10^5 bits/s, it will take approximately 20 seconds.

Step-by-step explanation:

To calculate the time required for transmission, we can use the formula:

Time (in seconds) = Data / Rate

Each image is 1024 x 1024 pixels and has 64 shades of gray. To find the number of bits, we can multiply the number of pixels by the number of shades of gray and take the logarithm base 2. So, each image has 1024 x 1024 x log2(64) bits. Therefore, 10 images have 10 x 1024 x 1024 x log2(64) bits.

Plugging in the values, we get:
Time (in seconds) = (10 x 1024 x 1024 x log2(64)) / 1.049 x 105

Calculating this expression gives us approximately 20 seconds.