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‫العشرى‬ ‫النظام‬ ‫من‬ ‫التحويل‬
‫الثنائى‬ ‫النظام‬ ‫إىل‬
AHMED MOHAMED ACADEMY
Convert from Decimal to Binary
1- (87) 10
2 87
2 43
Reminder
1
1
2 21 1
2 10 0
2 5 1
2 2 0
2 1 1
(1010111) 2(87) = (1010111)10 2
Convert from Decimal to Binary
2- (156) 10
2 156
2 78
Reminder
0
0
2 39 1
2 19 1
2 9 1
2 4 0
2 2 0
2 1 1
(10011100)2(156) = (10011100)10 2
Convert from Decimal to Binary
3- (20.625) 10
2 20
2 10
Reminder
0
0
2 5 1
2 2 0
2 1 1
(10100) 2
(20) = (10100)
10 2
.625 * 2 = 1.25
.25 * 2 = 0.5
0.5 * 2 = 1.0
1
0
1
(101) 2
(.625) = (.101)
10 2
(20.625) = (10100.101)
10 2
Try Yourself (Decimal to Binary)
1. (17)
2. (49)
3. (155)
10
10
10
4. (179)
5. (55.750)
6. (133.25)
7. (42.55)  5‫العالمة‬ ‫بعد‬ ‫ارقام‬
10
10
10
10

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1- التحويل من النظام العشرى إلى النظام الثنائى

  • 1. ‫العشرى‬ ‫النظام‬ ‫من‬ ‫التحويل‬ ‫الثنائى‬ ‫النظام‬ ‫إىل‬ AHMED MOHAMED ACADEMY
  • 2. Convert from Decimal to Binary 1- (87) 10 2 87 2 43 Reminder 1 1 2 21 1 2 10 0 2 5 1 2 2 0 2 1 1 (1010111) 2(87) = (1010111)10 2
  • 3. Convert from Decimal to Binary 2- (156) 10 2 156 2 78 Reminder 0 0 2 39 1 2 19 1 2 9 1 2 4 0 2 2 0 2 1 1 (10011100)2(156) = (10011100)10 2
  • 4. Convert from Decimal to Binary 3- (20.625) 10 2 20 2 10 Reminder 0 0 2 5 1 2 2 0 2 1 1 (10100) 2 (20) = (10100) 10 2 .625 * 2 = 1.25 .25 * 2 = 0.5 0.5 * 2 = 1.0 1 0 1 (101) 2 (.625) = (.101) 10 2 (20.625) = (10100.101) 10 2
  • 5. Try Yourself (Decimal to Binary) 1. (17) 2. (49) 3. (155) 10 10 10 4. (179) 5. (55.750) 6. (133.25) 7. (42.55)  5‫العالمة‬ ‫بعد‬ ‫ارقام‬ 10 10 10 10