# How many seconds will it take for a modem transmitting messages at a rate of 14,400

How many seconds will it take for a modem transmitting messages at a rate of 14,400 bits per second to transmit an 800 by 600 pixel color bitmap, assuming there are 16 million colors in the palette.

Find out that a palette with sixteen million colors is 24 bits per pixel.

We need to find out how many pixels are in the image.

1.800 * 600 we get 480,000 pixels.

Now we multiply the number of pixels by their weight.

2.480,000 * 24 exactly 11520000 bits.

Now we divide this number of bits by the number of bits transmitted per second.

3.1520000: 14400 we get 800 seconds or 13 minutes and 20 seconds.

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