2. (10%) Floating point representation. (a) (4%) What is the binary number representation of a decimal number 2.625? (b) (3%) Suppose there is an 8-bit floating number representation for real numbers. The floating number representation has three fields in the following order: 1 bit for sign, 4 bits for exponent (shifter), and 3 bits for mantissa (fixed-point number). The exponent is represented by the excess system with bias 7. Use this floating point representation to represent a decimal number 2.625. (c) (3%) What is the truncation error if the 8-bit floating number representation is used to represent a decimal number 2.625? Express your answer in the decimal format