6-IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent -6.633 assuming a version of this format, which uses an excess-16 format to store the exponent. Comment on how the range and accuracy of this 16-bit floating point format compares to the single precision IEEE 754 standard.

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6-IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost
bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the
mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to
represent -6.633 assuming a version of this format, which uses an excess-16
format to store the exponent. Comment on how the range and accuracy of this
16-bit floating point format compares to the single precision IEEE 754 standard.
Transcribed Image Text:6-IEEE 754-2008 contains a half precision that is only 16 bits wide. The leftmost bit is still the sign bit, the exponent is 5 bits wide and has a bias of 15, and the mantissa is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent -6.633 assuming a version of this format, which uses an excess-16 format to store the exponent. Comment on how the range and accuracy of this 16-bit floating point format compares to the single precision IEEE 754 standard.
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