Answer to Question #347942 in Discrete Mathematics for Jil

Question

A hypothetical video game console, the Mintendo Octal 32, uses an unconventional floating point format. Floats are expressed in base 8 in the form ±0.d1d2 . . . d8 × 8 x , using one bit for the sign, 24 bits for the mantissa (expressed in binary), one bit for the sign of the exponent x, and 6 bits for the absolute value of the exponent (in binary).

(a) If the bits are stored in the order: sign, sign of exponent, exponent, mantissa, and 0 corresponds to a positive sign, then calculate the decimal representation of the number stored as 1 0 000110 010 001 000 000 000 000 000 000

(b) What is the largest real number that can be stored in the Mintendo?

Answer 1

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