title: Smallest positive number with the following format
body: <p>12 bit floating point number: 1 bit sign, 4 bit exponent, 7 bit significand.</p>
  
  <p>The significand is normalized so that the first digit to the right of the radix point must be a 1.
  Exponent is signed 2's complement.
  No bias for the exponent. No implied bits for the significand.</p>
  
  <h2>What is the smallest positive number for the 12 bit number and also the decimal number it represents?</h2>
  
  <p>Regarding the exponent, in unbiased 2's complement, I know the smallest 4 bit negative number is 1000, which is -8 in decimal.</p>
  
  <p>The smallest significand is 1000000.</p>
  
  <p>Therefore, the 12 bit number I got was 0 1000 1000000.</p>
  
  <p>The problem I have is, when converting this number to decimal, is it</p>
  
  <p>[ 1 (base 2) x 2^-8 = .00390625 ]      or is it     [ .1 (base 2) x 2^-8 = .001953125 ]?</p>
  
  <p>I think it's .001953125. Am I correct, or is it .00390625?</p>
  
  <p>Thank so much!</p>