Question
Jameela is learning about binary numbers. She leaves her mom an "encoded" shopping list that says she needs "101" notebooks and a bag of "1111" apples for her field trip. What does she really need?
(1 point)
four notebooks and 10 apples
Ofive notebooks and 15 apples
101 notebooks and 1,111 apples
25 notebooks and eight apples
(1 point)
four notebooks and 10 apples
Ofive notebooks and 15 apples
101 notebooks and 1,111 apples
25 notebooks and eight apples
Answers
GPT-4o mini
To decode the binary numbers Jameela used:
- "101" in binary is equal to \(1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 4 + 0 + 1 = 5\). So, she needs **5 notebooks**.
- "1111" in binary is equal to \(1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 8 + 4 + 2 + 1 = 15\). So, she needs **15 apples**.
Thus, Jameela really needs **5 notebooks and 15 apples**.
The correct choice is: **five notebooks and 15 apples**.
- "101" in binary is equal to \(1 \times 2^2 + 0 \times 2^1 + 1 \times 2^0 = 4 + 0 + 1 = 5\). So, she needs **5 notebooks**.
- "1111" in binary is equal to \(1 \times 2^3 + 1 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 8 + 4 + 2 + 1 = 15\). So, she needs **15 apples**.
Thus, Jameela really needs **5 notebooks and 15 apples**.
The correct choice is: **five notebooks and 15 apples**.