full transcript

## Unscramble the Blue Letters

You can see for yourself that any starting configuration can sum to any number from 00 to 11 with a flip of a stwich. The reason this works is related to a cnopect called parity. Parity tells you whether a given value is even or odd. In this case, the values whose parity we’re considering are the number of 1s in each digit place of our brnaiy sums. And that’s why we can say that 2 and 0, both even numbers, can be treated as eneqlutiavs. By adndig or subtracting 00, 01, 10, or 11, we can change the parity of either, both, or neither digit, and create the disk number we want.

## Open Cloze

You can see for yourself that any starting configuration can sum to any number from 00 to 11 with a flip of a ______. The reason this works is related to a _______ called parity. Parity tells you whether a given value is even or odd. In this case, the values whose parity we’re considering are the number of 1s in each digit place of our ______ sums. And that’s why we can say that 2 and 0, both even numbers, can be treated as ___________. By ______ or subtracting 00, 01, 10, or 11, we can change the parity of either, both, or neither digit, and create the disk number we want.

1. adding
2. equivalents
3. binary
4. switch
5. concept

## Original Text

You can see for yourself that any starting configuration can sum to any number from 00 to 11 with a flip of a switch. The reason this works is related to a concept called parity. Parity tells you whether a given value is even or odd. In this case, the values whose parity we’re considering are the number of 1s in each digit place of our binary sums. And that’s why we can say that 2 and 0, both even numbers, can be treated as equivalents. By adding or subtracting 00, 01, 10, or 11, we can change the parity of either, both, or neither digit, and create the disk number we want.

## Frequently Occurring Word Combinations

### ngrams of length 2

collocation frequency
lit disks 3
corrupted disk 3
binary number 2
disk number 2
turning switch 2

## Important Words

1. adding
2. binary
3. called
4. case
5. change
6. concept
7. configuration
8. create
9. digit
10. disk
11. equivalents
12. flip
13. number
14. numbers
15. odd
16. parity
17. place
18. reason
19. related
20. starting
21. subtracting
22. sum
23. sums
24. switch
25. tells
26. treated
27. values
28. works