47 ms·
That's a good point about showing work. I originally opted to avoid having it show work for brevity's sake, but it's possible that by "showing work" ChatGPT is
by rcme 3y ago
That's a good point about showing work. I originally opted to avoid having it show work for brevity's sake, but it's possible that by "showing work" ChatGPT is storing enough context to compute the answer. So, I asked it to "limit work on each bit to a single line." which a human with understanding of the rules of addition would be more than capable of. The result (below) is still wrong :)
Sure, let's add the two binary numbers you provided, keeping each bit operation to a single line.
10011111110100011100011011110010
+ 00111010100101000100000101111011
Starting from the least significant bit:
1. 0 + 1 = 1
2. 1 + 0 = 1
3. 0 + 1 = 1
4. 0 + 0 + 1 (carry from step 3) = 1
5. 1 + 1 = 0, with 1 carry.
6. 1 + 0 + 1 (carry from step 5) = 0, with 1 carry.
7. 0 + 0 + 1 (carry from step 6) = 1
8. 1 + 1 = 0, with 1 carry.
9. 1 + 0 + 1 (carry from step 8) = 0, with 1 carry.
10. 0 + 0 + 1 (carry from step 9) = 1
11. 0 + 1 = 1
12. 1 + 0 = 1
13. 1 + 1 = 0, with 1 carry.
14. 1 + 0 + 1 (carry from step 13) = 0, with 1 carry.
15. 0 + 1 + 1 (carry from step 14) = 0, with 1 carry.
16. 0 + 0 + 1 (carry from step 15) = 1
17. 1 + 1 = 0, with 1 carry.
18. 1 + 0 + 1 (carry from step 17) = 0, with 1 carry.
19. 1 + 1 + 1 (carry from step 18) = 1, with 1 carry.
20. 0 + 0 + 1 (carry from step 19) = 1
21. 0 + 1 = 1
22. 1 + 0 = 1
23. 0 + 0 = 0
24. 1 + 1 = 0, with 1 carry.
25. 0 + 0 + 1 (carry from step 24) = 1
26. 0 + 1 = 1
27. 1 + 0 = 1
28. 0 + 0 = 0
29. 1 + 1 = 0, with 1 carry.
30. 1 + 0 + 1 (carry from step 29) = 0, with 1 carry.
31. 1 + 1 + 1 (carry from step 30) = 1, with 1 carry.
32. 0 + 0 + 1 (carry from step 31) = 1
So, the result of the binary addition is:
11011001000010100010001110101101