What decimal floating point number does this big-endian IEEE 754 single precision number represent: n = 0x6C84_3175? For explanation, I want you to document the steps you perform, in this order: (1) What is n in binary; (2) What is the value of the sign bit; What does this value signify about the final number; (3) What are the binary and decimal values of the biased exponent; (4) What is the binary value of the mantissa, with the 1. part preceding the binary point? (5) What is the decimal value of the unbiased exponent; (6) What is the decimal value of the mantissa, with the leading 1. part? (7) What is the final decimal real number, written in the form [-]d.ddddddddd dddddd 10e where d represents a decimal digit 0-9 and there is an optional leading negative sign. Write exactly 15 digits after the decimal point (even if they are 0's) and round the final 15th digit up or down as required based on the value of the 16th digit (16th digit < 5 round down; otherwise, round up).

* Must show your work and explain how the answer was obtained