DeanGD20idn
Answered

IDNStudy.com, ang iyong mapagkukunan para sa malinaw at maaasahang mga sagot. Ang aming platform ay nagbibigay ng mga maaasahang sagot upang matulungan kang gumawa ng matalinong desisyon nang mabilis at madali.

Define the special operation a ⊕ b by the following rules:
⇒ a ⊕ a = a for all positive integers a.
⇒ a ⊕ b = b ⊕ a for all positive integers a and b.
⇒ If a > b ≥ 1, then a ⊕ b = (a - b) ⊕ b.
Compute the value of 16 ⊕ 2018.

Please answer with solution, thanks in advance! :))

Sagot :

Suprathiksirimilla20idn

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:

⇒ 2 ⊕ 2 = 2

Therefore, 16 ⊕ 2018 = 2.

⊱ ──────  ✯  ────── ⊰

#CarryOnLearning