Carry Out Mensuration and Calculation.pptx

Digital Representation
Binary Digit and Equivalents
Calculating Data Storage

1. Carry Out Mensuration and Calculation DIGITAL REPRESENTATION CONVERTING DECIMAL NUMBERS TO BINARY CALCULATING DATE STORAGE

2. DIGITAL REPRESENTATION

3. American Standard Code for Information Interchange (ASCII) Each character is represented by a string of bits, Example: Capital Letter: A = 01000001 Number: 9 = 00001001 Special Character: # = 00100011 Each group of 8 bits is known as a byte Codes can be used to represent almost any type of information digitally: computer data, graphics, photos, voice, videos, and music

4. How to convert a decimal number to binary: Divide the number by 2, get the quotient and the remainder Bring down the quotient, divide it by 2, get the quotient and the remainder again Do it repeatedly until the quotient results to 0 Copy the remainder from bottom to top That is the binary equivalent

5. Example: 25 QUOTIENT REMAINDER 25 / 2 12 1 12 / 2 6 0 6 / 2 3 0 3 / 2 1 1 1 / 2 0 1 Binary Equivalent: 25 = 11001

6. Self – Check: Direction: Convert the decimal numbers shown below to binary. 19 28 37

7. CALCULATING DATA STORAGE

8. Quantities of Bytes 8 bits = 1 byte 1 kilobyte (kB) = 1, 024 bytes 1 megabyte (MB) = 1, 048, 576 bytes 1 gigabyte (GB) = 1, 073, 741, 824 bytes 1 terabyte (TB) = 1, 099, 511, 627, 776 bytes

9. Example : How many 20 kB files can be stored in a 1 MB folder? Solution: Given: 20 kB files ; 1 MB 20 kB x 1, 024 bytes = 20 x 1, 024 = 20, 480 bytes 1 kB 51.2 1 MB = 1, 048, 576 bytes 20 480 1 048 576.0 1 024 00 24 576 20 480 4 0960 4 0960 xxxxx 51.2 20 kB files Answer:

10. Operation Sheet Direction : Solve the problems indicated below. Show your solution. How many 60 kB jpg files can be stored on a 2 MB folder in your hard drive? How many 5 MB mp3 files can be saved on a 1 GB flash drive? How many 750 MB avi files can be dumped on a 4.3 GB DVD-R?

11. THANK YOU! -MISS CHANG

12. Answer Key: Self - Check 1) 19 QUOTIENT REMAINDER 19 / 2 9 1 9 / 2 4 1 4 / 2 2 0 2 / 2 1 0 1 / 2 0 1 2) 28 QUOTIENT REMAINDER 28 / 2 14 0 14 / 2 7 0 7 / 2 3 1 3 / 2 1 1 1 / 2 0 1 3) 37 QUOTIENT REMAINDER 37 / 2 18 1 18 / 2 9 0 9 / 2 4 1 4 / 2 2 0 2 / 2 1 0 1 / 2 0 1 Answer: 10011 Answer: 11100 Answer: 100101

13. Answer Key: Operation Sheet Solution: Given: 60 kB jpg files ; 2 MB folder 34.13 60 kB x 1, 024 bytes = 61, 440 bytes 61 440 2 097 152.00 1 kB 1 843 20 2 MB x 1, 048, 576 bytes = 2, 097, 152 bytes 253 952 1 MB 245 760 8 192 0 6 144 0 2 048 00 1 843 20 204 80 Answer: 34.13 60 kB jpg files

14. Answer Key: Operation Sheet 2) Solution: Given: 5 MB mp3 files ; 1 GB flash drive 204.8 5 MB x 1, 048, 576 bytes = 5, 242, 880 bytes 5 242 880 1 073 741 824.0 1 MB 1 048 576 0 1 GB = 1, 073, 741, 824 bytes 25 165 82 25 165 824 20 971 520 4 194 304 0 4 194 304 0 x x x x x x x Answer: 204.8 5 MB mp3 files

15. Answer Key: Operation Sheet 3) Solution: Given: 750 MB avi files ; 4.3 GB DVD-R 5.87 750 MB x 1, 048, 576 bytes = 786, 432, 000 bytes 786 432 000 4 617 089 843.20 1 MB 3 932 160 000 4.3 GB x 1, 073, 741, 824 bytes = 4, 617, 089, 843.2 bytes 684 929 843 2 1 GB 629 145 600 0 55 784 243 20 55 050 240 00 734 003 20 Answer: 5.87 750 MB avi files