3. [10 pts] Convert -1313.3125 to IEEE 32-bit floating point format. Sign: 1 (negative) Whole Number...

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3. [10 pts] Convert -1313.3125 to IEEE 32-bit floating point format. Sign: 1 (negative) Whole Number 1313/2= 656 remainder 1 656/2328 remainder 0 328/2 164 remainder 0 164/282 remainder 0 82/2 = 41 remainder 0 41/2 20 remainder 1 remainder 0 remainder 0 20/2 = 10 10/2 = 5 5/2 = 2 2/2 = 1 1/2 = 0 remainder 1 remainder 0 remainder 1 10100100001 (Whole number) Binary Form: 10100100001.0101 Move decimal point: 1.01001000010101 * 2^10 127 10 137 137/2= 68 remainder 1 68/234 remainder 0 34/2 17 remainder 0. 17/28 remainder 1 8 24 remainder 0 4/2 = 2 remainder 0 2/2 = 1 remainder 0 1/2 = 0 remainder 1 137 in binary: 10001001 1 Sign 10001001 01001000010101 exponent value Decimal 0.3125 * 20.625 0 0.625 * 21.25 -> 1 0.25 * 2 = 0.5 ->0 0.5*2= 1.0 0*2 = 0 0101 (Decimal) -> 0 3. [10 pts] Convert -1313.3125 to IEEE 32-bit floating point format. Sign: 1 (negative) Whole Number 1313/2= 656 remainder 1 656/2328 remainder 0 328/2 164 remainder 0 164/282 remainder 0 82/2 = 41 remainder 0 41/2 20 remainder 1 remainder 0 remainder 0 20/2 = 10 10/2 = 5 5/2 = 2 2/2 = 1 1/2 = 0 remainder 1 remainder 0 remainder 1 10100100001 (Whole number) Binary Form: 10100100001.0101 Move decimal point: 1.01001000010101 * 2^10 127 10 137 137/2= 68 remainder 1 68/234 remainder 0 34/2 17 remainder 0. 17/28 remainder 1 8 24 remainder 0 4/2 = 2 remainder 0 2/2 = 1 remainder 0 1/2 = 0 remainder 1 137 in binary: 10001001 1 Sign 10001001 01001000010101 exponent value Decimal 0.3125 * 20.625 0 0.625 * 21.25 -> 1 0.25 * 2 = 0.5 ->0 0.5*2= 1.0 0*2 = 0 0101 (Decimal) -> 0

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The image you uploaded shows the process for converting the number 13133125 to an IEEE 32bit floatingpoint representation Heres a stepbystep walkthrou... View the full answer