path: /courses/lowLevel/decimal-convert.md

- **fileName**: decimal-convert
- **Created on**: 2024-09-22 17:30:07

file for convert decimal to all units

1- convert decimal to binray

1- convert (15) to binary

• 2 | 15 7 => 1
• 2 | 7 3 => 1
• 2 | 3 1 => 1 2 | 1 0 => 1

• so now when the output for the convert : (1111) get the reminder
  numbers from bottom to top so when the divide number / 2 is == 0 then
  the convertation finish so in the example when divide 1 / 2 = 0.5 so
  when rounded the number it's equl to zero and the float n number
  after the . (decimal point) if there then reminder is == 1 if the
  number is int number so the reminder is 0 , in end you collect the
  reminder from the bottom for 1 to 15 and this the final output

2- convert 20 to binary

• 2 | 20 10 => 0
• 2 | 10 5 => 0
• 2 | 5 2.5 => 1
• 2 | 2 1 => 0
• 2 | 1 0.5 = > 1

• now the final results : 101008

2- convert decimal to octal

1- convert 34 to octal

• 8 | 34 4.25 => 8 * .25 == 2
• 8 | 4 .5 => 8 * .5 == 4

• now the final results : 42, so in convert decimal to octal you divide
  by 8 and if reminder then multipluy it's with 8 and make the same operation
  unitl divide end with 0

2- convert 456 to octal

• 8 | 456 57(int number) => 0
• 8 | 57 7.125 => 8 * .125 == 1
• 8 | 7 0.875 => 8 * .875 == 7

• now the final results : 710

3- convert decimal to hexadecimal

1- convert 255 to hexadecimal

• 16 | 255 15.9375 => 16 * 0.9375 == 15 == f
• 16 | 15 0.9375 => 16 * 0.9375 == 15 == f

• now the final results : 0xff || 0x1515

1- convert 256 to hexadecimal

• 16 | 255 16 => 0
• 16 | 16 1 => 0
• 16 | 1 0.0625 => 0.0625 * 16 == 1

• now the final results : 100

continue:binary-convert.md