Convert the following binary and hexadecimal numbers to floating point format. Assume a binary format consisting of

Question:

Convert the following binary and hexadecimal numbers to floating point format. Assume a binary format consisting of a sign bit (negative = 1), a base 2, 8-bit, excess-128 exponent, and 23 bits of mantissa, with the implied binary point to the right of the first bit of the mantissa.
a. 110110.011011₂
b. −1.1111001₂
c. −4F7F₁₆
d. 0.00000000111111₂
e. 0.1100 × 2³⁶
f. 0.1100 × 2⁻³⁶