Consider an 8-bit floating point format. In this representation 4 bits are reserved for the mantissa and 3 bits are reserved for the exponent and 1 bit is reserved for the sign of the number. The exponent of the number is stored with a bias = 3.

a) Express the decimal number 4.75 in this 8 bit floating point format.

b) Write down the next bigger representable number in decimal base.

c) If you would be conducting the following operation using this 8 bit floating point format what would the result of the following calculation be ?

4.75 + 0.05 - 4.75