In the book of E. Tannebaum “Computer Architecture” There is a section “Appendix B. Floating Point Numbers”. Quote from there:

I do not understand how the number is calculated in the first case, but specifically how the mantissa is calculated.

The author calculates the Mantissa: 1 × 16 ^{-3 + b × 16 -4 . But after all, the categories -3 and -4 are filled with zeros: 0000 and 0000.}

In my opinion, Mantissa is 0 × 16 ^{-1 + b × 16 -2 + 0 × 16 -3 + 0 × 16 -4 = b × 16 -2 = 0,04296875 ₁₀ . Consequently, the whole number is + (16 5 × 0,04296875 ₁₀ ) = +45056 ₁₀ . Isn’t there?}

And it is not yet clear why for normalization we shifted the Mantissa on two hexadecimal discharge left. After all, the second category (16 ^{-2 ) – nonzero.}

Answer 1, Authority 100%

I was always hit by the babies of publishers and translators, but this is some kind of new level.