Mulitplying bits : <p>My textbook says this:</p>

<p><a href="https://i.stack.imgur.com/spBV5.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/spBV5.png" alt="enter image description here"></a></p>

<p>I don’t get this quote in the multiplication section:</p>

<blockquote>
  <p>The first observation is that the number of digits in the product is considerably larger than the number in either the multiplicand or the multiplier. In fact, if we ignore the sign bits, the length of the multiplication of an n-bit multiplicand and an m-bit multiplier is a product that is n + m bits long. That is, n + m bits are required to represent all possible products.</p>
</blockquote>

<p>I see 7 digits in the product but this quote implies there should be 8</p>
