For IEEE 754 single precision floating point, what is the number, as written in binary scientific notation, whose hexadecimal representation is the following?

(a) 4280 0000

(c) 0061 0000

(e) 7FE4 0000

Okay so I'm stuck on (a).

The answer in the book says, 1.0 * 2^6 but I get 1.0010 * 2^-59

I converted 4 2 8 and 0 separately to binary and got 0 0100 0010 1000 0000 0000 0000 0000 0000 .

exponent: 0100 0010 . With excess 127 representation I get the exponent as -59.

Hidden bit is 1. 4 digits to the left of the significand are 0010. So that gives me 1.0010 *2^-59.

What am I doing wrong?