A. Convert the following decimal numbers to binary. Show your solution.
1. 4 = 100
2. 8 = 1000
3. 10 = 1010
4. 12 = 1100
5. 57 = 111001
B. Solve the problems below. Show your solution.
1. 50 files
2. 200 mp3 files
3. 50 jpeg files
Solutions:
A. Convert the following decimal numbers to binary. Show your solution.
1. 4/2 = 2, remainder is 0
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
2. 8/2 = 4, remainder is 0
4/2 = 2, remainder is 0
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
3. 10/2 = 5, remainder is 0
5/2 = 2, remainder is 1
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
4. 12/2 = 6, remainder is 0
6/2 = 3, remainder is 0
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
5. 57/2 = 28, remainder is 1
28/2 = 14, remainder is 0
14/2 = 7, remainder is 0
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
B.
1. explanation for #1
40×50=2,000kb
2,000=2mb
2. explanation for #2
10×200=2,000mb
2,000=2gb
3. explanation for #3
60×50=3,000kb
3,000=3mb
