In a biased N-bit binary number system with bias B, positive and negative numbers are represented as their value plus the bias B. For example, for 5-bit numbers with a bias of 15, the number 0 is represented as 01111, 1 as 10000, and so forth. Biased number systems are sometimes used in floating point mathematics, which will be discussed in Chapter 5. Consider a biased 8-bit binary number system with a bias of 12710·
(a) What decimal value does the binary number 100000102 represent?
(b) What binary number represents the value 0?
(c) What is the representation and value of the most negative number?
(d) What is the representation and value of the most positive number?