3. Applications of Digital Electronics (5 points each) a.) Each pixel of a digital image requires 24 bits of informa acl of a digital image requires 24 bits of information - eight bits each for Red, Green, and Blue, allowing 256 levels of each color and -16M colors total. How large (in megabytes) is a single "1080p" image (1920 x 1080 pixels)? Show your calculations or reasoning for partial credit. b.) Desktop PCs transitioned from 16 bits to 32 bits in the 1980s, and from 32-bit to 64-bit systems in the early 2000s. 32-bir systems could access 65,536 times as much memory as 16-bit systems, at least in theory - up to 4 gigabytes (which seemed like a lot, back then). How many times larger is the theoretical) memory limit of a 64-bit system than a 32-bit system? Show your calculations or reasoning for partial credit. Hint: Computer systems can theoretically access one byte of memory for every unique number that can be placed on the address bus. c.) A certain microcontroller can run at 8 MIPS (Million Instructions Per Second.) You are designing a power monitoring device to run in real-time. How many instructions can it run in the time between AC power cycles (1/60th of a second)? Show your calculations or reasoning for partial credit