(3) The IEEE 754 standard specifies a single-precision binary floating-point format (binary32) as having 1 bit for sign bit, 8 bits for exponent, and 23 bits for fractions (mantissa). Given the conversion formula as follows, value2 = (-1)b31 × (1. b22b21 ... bo)2 × 2(b30b29-.b23)2=127 (a) encode -2.2510 ; (b) decode 0 1000 0001 011 0000 0000 0000 0000 00002

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