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‫النظام‬ ‫من‬ ‫التحويل‬‫الثنائى‬
‫إىل‬‫النظام‬‫السدادسى‬‫عشر‬
AHMED MOHAMED ACADEMY
Convert from Binary to Hexadecimal
1- (1010110110)2
001010110110
0010 1011 0110
0 1 1 01 0 1 10 0 1 0
6112
2B6
(1010110110) = (2B6)
8 4 2 1 8 4 2 1 8 4 2 1
0 4 2 08 0 2 1 + + +0 0 2 0+ + + + + +
6B2
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 A
11 B
12 C
13 D
14 E
15 F
2 16
Convert from Binary to Hexadecimal
1- (1010110110)2
001010110110
0010 1011 0110
6112
2B6
(1010110110) = (2B6)
6B2
2 16
Decimal Hexa Binary
0 0 0000
1 1 0001
2 2 0010
3 3 0011
4 4 0100
5 5 0101
6 6 0110
7 7 0111
8 8 1000
9 9 1001
10 A 1010
11 B 1011
12 C 1100
13 D 1101
14 E 1110
15 F 1111
Convert from Binary to Hexadecimal
2- (1010101011.1001)2
001010110110
0010 1010 1011
1 0 1 11 0 1 00 0 1 0
11102
2AB
(1010101011.1001) = (2AB.9)
8 4 2 1 8 4 2 1 8 4 2 1
8 0 2 18 0 2 0 + + +0 0 2 0+ + + + + +
BA2
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 A
11 B
12 C
13 D
14 E
15 F
2 16
.1001
1 0 1 1
8 4 2 1
8 0 0 1+ + +
9
9
Convert from Binary to Hexadecimal
2- (1010101011.1001)2
001010110110
0010 1010 1011
11102
BA2
.1001
9
9
Decimal Hexa Binary
0 0 0000
1 1 0001
2 2 0010
3 3 0011
4 4 0100
5 5 0101
6 6 0110
7 7 0111
8 8 1000
9 9 1001
10 A 1010
11 B 1011
12 C 1100
13 D 1101
14 E 1110
15 F 1111
2AB
(1010101011.1001) = (2AB.9)
2 16
9
Try Yourself (Binary to Hexadecimal)
1. (101101)
2. (1111011)
3. (1010111)
2
2
2
4. (10001001.111)
5. (100010101.11101)
2
2

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6- التحويل من النظام الثنائى إلى النظام السداسى عشر

  • 2. Convert from Binary to Hexadecimal 1- (1010110110)2 001010110110 0010 1011 0110 0 1 1 01 0 1 10 0 1 0 6112 2B6 (1010110110) = (2B6) 8 4 2 1 8 4 2 1 8 4 2 1 0 4 2 08 0 2 1 + + +0 0 2 0+ + + + + + 6B2 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 2 16
  • 3. Convert from Binary to Hexadecimal 1- (1010110110)2 001010110110 0010 1011 0110 6112 2B6 (1010110110) = (2B6) 6B2 2 16 Decimal Hexa Binary 0 0 0000 1 1 0001 2 2 0010 3 3 0011 4 4 0100 5 5 0101 6 6 0110 7 7 0111 8 8 1000 9 9 1001 10 A 1010 11 B 1011 12 C 1100 13 D 1101 14 E 1110 15 F 1111
  • 4. Convert from Binary to Hexadecimal 2- (1010101011.1001)2 001010110110 0010 1010 1011 1 0 1 11 0 1 00 0 1 0 11102 2AB (1010101011.1001) = (2AB.9) 8 4 2 1 8 4 2 1 8 4 2 1 8 0 2 18 0 2 0 + + +0 0 2 0+ + + + + + BA2 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 A 11 B 12 C 13 D 14 E 15 F 2 16 .1001 1 0 1 1 8 4 2 1 8 0 0 1+ + + 9 9
  • 5. Convert from Binary to Hexadecimal 2- (1010101011.1001)2 001010110110 0010 1010 1011 11102 BA2 .1001 9 9 Decimal Hexa Binary 0 0 0000 1 1 0001 2 2 0010 3 3 0011 4 4 0100 5 5 0101 6 6 0110 7 7 0111 8 8 1000 9 9 1001 10 A 1010 11 B 1011 12 C 1100 13 D 1101 14 E 1110 15 F 1111 2AB (1010101011.1001) = (2AB.9) 2 16 9
  • 6. Try Yourself (Binary to Hexadecimal) 1. (101101) 2. (1111011) 3. (1010111) 2 2 2 4. (10001001.111) 5. (100010101.11101) 2 2