Significands and The Hidden Bit
When working in binary, the significand is characterized by its width in binary digits (bits). Because the most significant bit is always 1 for a normalized number, this bit is not typically stored and is called the "hidden bit". Depending on the context, the hidden bit may or may not be counted towards the width of the significand. For example, the same IEEE 754 double precision format is commonly described as having either a 53-bit significand, including the hidden bit, or a 52-bit significand, not including the hidden bit. The notion of a hidden bit only applies to binary representations. IEEE 754 defines the precision, p, to be the number of digits in the significand, including any implicit leading bit (e.g. precision, p, of double precision format is 53).
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Famous quotes containing the words hidden and/or bit:
“The beginning, middle, and end are parodied, reversed, and hidden by modernism, but not abandoned.”
—Mason Cooley (b. 1927)
“So far we have been going firmly ahead, feeling the firm ground of prejudice glide away beneath our feet which is always rather exhilarating, but what next? You will be waiting for the bit where we bog down, the bit where we take it all back, and sure enough that’s going to come but it will take time.”
—J.L. (John Langshaw)