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Now, we shall just use the rules given to compute 16 ⊕ 2018.
Using second rule, we can write this as:
2018 ⊕ 16
Use the third rule:
⇒ (2018 - 16) ⊕ 16
Or, since this sequence is continuous, we multiply 127.
⇒ (2018 - (125)16) ⊕ 16
⇒ (2018 - 2000) ⊕ 16
⇒ 18 ⊕ 16
Continue using third rule.
⇒ 18 - 16 ⊕ 16
⇒ 2 ⊕ 16
Use second rule:
⇒ 16 ⊕ 2
Again continue using third rule:
⇒ 16 - 2 ⊕ 2
⇒ 14 - 2 ⊕ 2
⇒ 12 - 2 ⊕ 2
⇒ 10 - 2 ⊕ 2
⇒ 8 - 2 ⊕ 2
⇒ 6 - 2 ⊕ 2
⇒ 4 - 2 ⊕ 2
⇒ 2 ⊕ 2
Here, use the first rule:
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