Question: Consider the following format for floating-point numbers: This format uses 14 bits to represent a floating-point number. The number is written is normalized scientific notation.

 Consider the following format for floating-point numbers: This format uses 14

Consider the following format for floating-point numbers: This format uses 14 bits to represent a floating-point number. The number is written is normalized scientific notation. The format uses a 6-bit biased exponent (E'), with both 000000 and 111111 considered to be reserved values. The mantissa (M) is 7 bits in size. The S field is used for the sign. Answer the following showing all necessary steps: a) Represent the number +6.8125 in this format. b) If the number 01101001110011 is generated using the format above, what is its equivalent in decimal? c) What are the smallest and largest numbers that can be represented in this format? Compare the range with that of a fixed-point number of the same width. d) Given A = 01110111010110 and B = 01111010000001; Calculate A - B using the binary floating-point addition procedure

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