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  • $\begingroup$ ohh got it. tbh the next question doesn't really make sense either. It's "What is the largest non-infinite number it can represent". The binary representation is 0 11110 1111111111. They got 2^{16}-2^{5}. Where did the minus come from? $\endgroup$ Commented May 10, 2021 at 4:47
  • $\begingroup$ Well that answer is technically correct, but expressing it with a subtraction doesn't seem that helpful to me. It's better to think of it as $1.1111111111_2 \times 2^{15} = 65504$. $\endgroup$ Commented May 10, 2021 at 4:51
  • $\begingroup$ Oh okay, got it! So you take the exponent bits, find out it's 30. You subtract 30-bias to get 15. But where do you get 1.111.... from? $\endgroup$ Commented May 10, 2021 at 21:31
  • $\begingroup$ @Manny The mantissa, 1.111..., is the significand field with "1." attached to the start. The implicit digit to the left of the binary point here is 1 because it is a normal number. $\endgroup$ Commented May 11, 2021 at 4:49