Consider an un-normalized floating point system with

• 3 bits allocated for the digits of the mantisa and one seperate bit containing the sign of the mantissa
• 2 bits allocated for the digits of the exponent and one seperate bit containing the sign of the exponent

such that the floating point number is:

x* := m 2, m = (0. b_1b_2b3)2, e = (C1 C0) 2, E ci, mi {0, 1}.