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Mathematics · Question

The binary number "101001101" is equivalent to the Decimal number "334"

Answer

False

The story behind the answer

False. 101001101 (base 2) equals 256 + 64 + 8 + 4 + 1 = 333, not 334.

Binary is base-2; each position is a power of two. A quick mental method is “double-and-add-the-bit”: starting at 0, for each digit left to right, double your total and add the bit; processing 1-0-1-0-0-1-1-0-1 yields 333. Also, adding 1 in binary flips trailing 1s to 0s until a 0 becomes 1, so 334 is 101001110, not 101001101.

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