[PDF] Addition of Hexadecimal Numbers





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Addition of Hexadecimal Numbers

Eastern Mediterranean University. Department of Electrical& Electronic Engineering. Addition of Hexadecimal Numbers. 1+1 = 2. 1+2 = 3. 1+3 = 2+2 = 4.





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Eastern Mediterranean University

Department of Electrical& Electronic Engineering

Addition of Hexadecimal Numbers

1+1 = 2

1+2 = 3

1+3 = 2+2 = 4

1+4 = 2+3 = 5

1+5 = 2+4 = 3+3 = 6

1+6 = 2+5 = 3+4 = 7

1+7 = 2+6 = 3+5 = 4+4 = 8

1+8 = 2+7 = 3+6 = 4+5 = 9

1+9 = 2+8 = 3+7 = 4+6 = 5+5 = A

1+A = 2+9 = 3+8 = 4+7 = 5+6 = B

1+B = 2+A = 3+9 = 4+8 = 5+7 = 6+6 = C

1+C = 2+B = 3+A = 4+9 = 5+8 = 6+7 = D

1+D = 2+C = 3+B = 4+A = 5+9 = 6+8 = 7+7 = E

1+E = 2+D = 3+C = 4+B = 5+A = 6+9 = 7+8 = F

1+F = 2+E = 3+D = 4+C = 5+B = 6+A = 7+9 = 8+8 = 10

2+F = 3+E = 4+D = 5+C = 6+B = 7+A = 8+9 = 11

3+F = 4+E = 5+D = 6+C = 7+B = 8+A = 9+9 = 12

4+F = 5+E = 6+D = 7+C = 8+B = 9+A = 13

5+F = 6+E = 7+D = 8+C = 9+B = A+A = 14

6+F = 7+E = 8+D = 9+C = A+B = 15

7+F = 8+E = 9+D = A+C = B+B = 16

8+F = 9+E = A+D = B+C = 17

9+F = A+E = B+D = C+C = 18

A+F = B+E = C+D = 19

B+F = C+E = D+D = 1A

C+F = D+E = 1B

D+F = E+E = 1C

E+F = 1D

F+F = 1E

Ok, now to do addition, you do it just like normal addition. Line the numbers up, start by adding the one's digit and carry the 1 if there is one. E.g. 18FAB + 5CDAA First, add the one's digit: B+A = 15, so I carry the 1: 1 182AB
+ 5FDAA 5 Now, add the ten's digit: A+A = 14, plus the 1 I carried = 15.

Remember to carry the 1 again:

11 182AB
+ 5FCAA 55
Now, add the hundred's digit: 2+C = E, plus the 1 I carried = F: 11 182AB
+ 5FCAA F55 Now, add the thousands digit: 8+F = 17, carry the 1: 1 11 182AB
+ 5FCAA 7F55 Now, add the last digit: 1+5 = 6, plus the 1 I carried = 7: 1 11 182AB
+ 5FCAA 77F55
So:

182AB + 5FCAA = 77F55

Research Assistant

EDMOND NURELLARI

Office No.EE240

Office Phone: +90 392 630 1093

E-Mail: edmond.nurellari@cc.emu.edu.tr

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