title: IEEE 754 multiplication small numbers
body: <p>I want to multiply this two number:</p>
  <p>00100010000000000000000000000000 (1.73472347598e-18)</p>
  <p>and</p>
  <p>00010101000000000000000000000001 (-2.997414069111348324895269018E-38)</p>
  <p>The rule is:</p>
  <p>(e1-127) +e2</p>
  <p>So the exponent is</p>
  <p>(68 - 127) + 42 = -17</p>
  <p>-17 Cant be representet in IEEE754 Format</p>
  <p>This calculator, says that the exponent is -126.
  But how can I calculate this by hand?</p>