Design a logic circuit, LOGARITHM that converts an input number X to its logarithm, log(X). Input X is given as an unsigned real number such that, 1.00<=X<=7.75, using fixed-point fromat with 2 fractional bits after the radix point. The outputs, LOGX should be in fixed-point format with 6 fractional bits. Implement the LOGARITHM circuit using the following alternatives:
A. One 32x12 ROM
B. As few 16x6 ROMs as possible