1. 1.12
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Addition
MATH1003

2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To correctly apply the rules of binary addition.
MATH1003

3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Rules of Binary Addition
MATH1003

4. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Rules of Binary Addition
Rule 1
0
+0
0
MATH1003

5. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Rules of Binary Addition
Rule 1 Rule 2
0 0 1
+0 +1 +0
0 1 1
MATH1003

6. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Rules of Binary Addition
Rule 1 Rule 2 Rule 3
0 0 1 1
+0 +1 +0 +1
0 1 1 10
MATH1003

7. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Rules of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
MATH1003

8. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
111012
MATH1003

9. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

10. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

11. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

12. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

13. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

14. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

15. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
101002
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 10012
111012
MATH1003

16. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
MATH1003

17. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
0
MATH1003

18. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
0
MATH1003

19. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
00
MATH1003

20. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
00
MATH1003

21. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
000
MATH1003

22. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
000
MATH1003

23. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
0000
MATH1003

24. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
10000
MATH1003

25. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
10112
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1012
100002
MATH1003

26. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
MATH1003

27. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
0
MATH1003

28. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
0
MATH1003

29. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
00
MATH1003

30. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
00
MATH1003

31. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
000
MATH1003

32. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
000
MATH1003

33. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
1000
MATH1003

34. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
1000
MATH1003

35. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
11000
MATH1003

36. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
011000
MATH1003

37. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
1011000
MATH1003

38. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1011012
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 1010112
10110002
MATH1003

39. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
MATH1003

40. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
1
MATH1003

41. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
01
MATH1003

42. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
.01
MATH1003

43. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
.01
MATH1003

44. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
0.01
MATH1003

45. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
0.01
MATH1003

46. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
10.01
MATH1003

47. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
10.01
MATH1003

48. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
010.01
MATH1003

49. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
010.01
MATH1003

50. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
0010.01
MATH1003

51. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
10010.01
MATH1003

52. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Examples of Binary Addition
Rule 1 Rule 2 Rule 3 Rule 4
1 1 1 1 1
1110.102
0 0 1 1 1
+0 +1 +0 +1 +1
0 1 1 10 11
+ 011.112
10010.012
MATH1003