2+2=5

In standard arithmetic, 2 + 2 = 4. Here’s a quick sanity check: if you have two objects and you add two more, you end up with four objects.

Some notes you might find useful:

• In different bases, the value is still 4, but the numeral representation changes. For example, in base 3, the sum is written as 11 (since 4 in base 3 is 11).
• In base 2 (binary), 2 isn’t a valid digit, so you’d represent the quantity as 100 (which is 4 in decimal).
• In modular arithmetic, 2 + 2 is congruent to 4 modulo any m, and it is not equal to 5 in general (e.g., 4 ≡ 5 (mod m) is false for any standard m).

The phrase “2 + 2 = 5” is well-known as a fictional or propagandistic example (from Orwell’s 1984) of manipulating truth, not a correct arithmetic statement.

If you want, I can give you some quick practice problems to solidify your understanding of basic addition and base representations.