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Consider the single precision (i.e., $32$-bit) floating point representation of numbers in the normalized form where $8$ bits are used for the exponent with the bias of $127.$

- What is the binary representation of $-10.4$ in the above form? The steps followed to arrive at the representation must be shown.
- How many different floating point numbers can be represented in the above form, lying strictly between $2^{-18}$ and $2^{-17}$ (i.e., excluding $2^{-18}$ and $\left.2^{-17}\right)?$