Wednesday’s Task

You are solving math problems today based on the lessons from the last couple of periods. When you have finished the tasks I want you to put the answers in a blog post, if you can’t get your blog to work put them in a word document.

1. Calculate the amount of storage required for an 8 inch by 6 inch photograph which is scanned at 300 dpi in 65536 colours. Show all your workings and give your answer in appropriate units. (3)
2. Joe is playing a game on his computer. The processor in Joe’s computer uses a 24-bit data bus and a 32-bit address bus. Calculate the maximum amount of memory which Joe’s computer could address. Express your answer using suitable units. (3)
3. A computer has a 16-bit data bus, 24-bit address bus and a 16 line control bus. Calculate the maximum amount of memory that can be addressed by this computer. Show all your workings and express your answer in appropriate units. (3)
4. Calculate the maximum size of memory for a computer with a 36 bit address bus and a 32 bit data bus. Show all workings. (3)
5. Ian scans a photograph. The image is 800 by 600 pixels and uses 65,536 colours. Calculate the file size of the scanned image. Show all working and express your answer in appropriate units. (4)
6. John uses his digital camera to take photographs. It has a 512 megabyte memory card. His camera uses 16,777,216 colours and is set to a resolution of 3000 x 2000 pixels. Calculate the file size of a single image. Your answer should be in appropriate units. Show all working. (3)
What is the maximum number of images of this size that can be stored on John’s memory card? (2)
7. Phantom IV
3.9 GHz Storm Processor
2 Mb Cache memory
32 bit Data Bus
24 bit Address Bus
512 Mb RAM
320 Gb Hard Disk
Above is an advert for a computer. Calculate the maximum amount of memory which the Phantom IV computer can address. Give your answer in appropriate units. Show all workings. (3)
8. Carol has some pictures stored on her computer system. The pictures are 5 x 7 inches, have a resolution of 300 dpi and have a colour depth of 24 bits. Calculate the storage requirements required for each picture. Express you answer in suitable units. Show all workings. (3)
9. A computer has a 16 bit address bus and an 8 bit data bus. It also has a control bus. Calculate the number of addresses that are available. (1)
10. An image is 4 x 6 inches, has a resolution of 800 dpi and each pixel can display 65536 different colours.
Calculate the storage requirements for this image assuming no compression is used. Express your answer using suitable units. Show all working. (2)
11. A multimedia catalogue to help identify and record sightings of birds common to the UK is being constructed. The software will contain colour pictures and recordings of bird calls. The photographs of birds will aid identification. Each photograph is 200 by 200 pixels and is stored in 32 bit colour. What is the file size of a single image? Show all your working and give your answer in appropriate units. (4)
12. Calculate the maximum size of memory for a computer with a 16 bit address bus and an 8 bit data bus. (2)

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