title: What would the smallest positive value of an IEEE 24-bit float be?
body: <p>The smallest positive value of an IEEE-754 32-bit float is <code>2^−149</code> and that of a 16-bit float is <code>2^-14</code>. <strong>If the IEEE-754 standardized a 24-bit float, what would its smallest positive value be?</strong></p>
  
  <p>Excuse me if this is explicitly documented somewhere, but I wasn't able to find it in searches.</p>
  
  <p>If you want to know about the practicality, this will be used to fit four floating-point values of varying precision into 64 bits for use in a memory-deficient system.</p>