Given:
1 bit for sign
3 bits for exp
4 bits for fract
How to find the closest floating-point number to 1.22 ??
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Inferno
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$1.22$ is a number – Asinomás Oct 19 '16 at 00:39
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@JorgeFernándezHidalgo, 1.22 cannot be represented as a representation of the mentioned bits - fractional part would be infinite. – Inferno Oct 19 '16 at 00:42
1 Answers
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The values of the sign bit and the exponent ought to be obvious. So the only question is what the mantissa ought to be. But there are only 4 bits in the mantissa. So even if you don't know what to try, you could just try all 16 possible mantissas and see which one comes closest.
MJD
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