**Please read each part carefully and provide calculations** unless the section asks for formula only** provide full decimal numbers, not scientific.

1. When examining mammograms, radiologists often deal with four to six images at a time. For a reasonable digital representation of a mammogram, a pixel array of 3000 by 4000 is needed and 12 bits of grayscale are used to represent each pixel.

a) How many bits are needed to represent a single mammogram image?

b) How many bits are needed to represent five mammogram images?

c) How long (in seconds) would it take to send 10 mammogram images from a radiologists office to a hospital over a T-1 connection (a 1.544 Mbps; 1.544.000 bps connection)?

d) Advanced mammography imaging displays color images on ultra-high resolution 12-megapixel (4200 x 2800 pixels) display screens and capture images at the rate of 60 images per second.

i. If 24-bit True color pixels are used, what formula would you use to calculate the total number of bits included in each image display? You do not have to perform the calculation.

ii. What formula would you use to calculate the total number of bits produced by an imaging capture session that last five seconds when images are captured at the rate of 60 images per second using 24-bit True color pixels? You do not have to perform the calculation.