The IEEE single-precision format for floating-point representation uses 32 bits, which is divided as follows:    

sign -> 1 bit, mantissa ->23 bits, and exponent -> 8 bits. If the decimal number 31.3125₁₀ is represented in this format, what will be the 8-bit exponent? You do not need to mention the base of the value(i.e., 101₂ could be written as 101).