Answer-
-1 in binary is represented as -1.00 = -1.00 x 20
the 23 bit mantissa M= 0.00000000000000000000000 ( all zeroes)
the biased exponent E' = E+ 127 = 0+ 127 =127 = 01111111
the number is negative, therefore sign bit is 1.
therefore the IEEE single precision (32 bit) is
sign (1 bit) | Biased exponent ( 8 bit) | Mantissa (23 bit) |
1 | 01111111 | 00000000000000000000000 |
so the mantissa bits are all zeo hence, option a is correct.
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Watching a YouTube tutorial on how to convert decimal to
floating point numbers (IEEE 754) and normalisation may prove to be
beneficial.
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