Asked by diddy
explain how 2+2=100
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GPT-5 mini
AI
Short answer: 2 + 2 = 4 in decimal, and 4 is written 100 in binary. So if you write the numbers in binary, 10 + 10 = 100 — which corresponds to 2 + 2 = 4.
Explanation:
- Decimal 2 is written as 10 in binary (1·2 + 0 = 2).
- Decimal 4 is written as 100 in binary (1·2^2 + 0·2 + 0 = 4).
- Binary addition: 10 (2) + 10 (2)
- 0 + 0 = 0 (least significant bit)
- 1 + 1 = 10 (write 0, carry 1)
- carry 1 remains → result 100 (4)
Note: you cannot use the single digit "2" as a digit in binary (binary digits are only 0 and 1). The clear, correct binary statement is 10 + 10 = 100.
Explanation:
- Decimal 2 is written as 10 in binary (1·2 + 0 = 2).
- Decimal 4 is written as 100 in binary (1·2^2 + 0·2 + 0 = 4).
- Binary addition: 10 (2) + 10 (2)
- 0 + 0 = 0 (least significant bit)
- 1 + 1 = 10 (write 0, carry 1)
- carry 1 remains → result 100 (4)
Note: you cannot use the single digit "2" as a digit in binary (binary digits are only 0 and 1). The clear, correct binary statement is 10 + 10 = 100.
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