Recall that floating-point numbers are typically packed into a computer datum as the sign bit, the exponent field, and the significand or mantissa, from left to right. Consider a floating-point system which has a binary base with precision of 12 digits with an exponent range of [-62,63]. Using the format A.BCD.. * 2exp where m = 6 binary digits. (a) Write the largest positive number machine number in binary form, then convert to decimal. (b) What is the value of machine epsilon for this floating-point system? Convert binary form to decimal. (c) What is the smallest number greater than one which could be stored on this system? Write it in the floating-point binary representation only.