**3.3.3 SIGNED MULTIPLICATION AND DIVISION**

If we apply the multiplication and division methods described in the previous sections to signed integers, then we will run into some trouble. Consider multiplying −1 by +1 using four-bit words, as shown in the left side of Figure 3-16.

The eight-bit equivalent of +15 is produced instead of −1. What went wrong is that the sign bit did not get extended to the left of the result. This is not a problem for a positive result because the high order bits default to 0, producing the correct sign bit 0.