• Table of Contents

Multiplication Review

Figure 4.X First version of the multiplication hardware.

Figure 4.X The first multiplication algorithm for Figure 3.X.

Figure 4.X Multiply example using algorithm in Figure 3.X.

Figure 4.X Refined version of the multiplication hardware.

Division

Figure 4.X First version of the division hardware.

Figure 4.X A division algorithm, using the hardware in Figure 4.X.

Figure 4.X Division example using the algorithm in Figure 4.X.

Floating Point

The representation of a double precision floating-point number takes two MIPS words, as shown below, where:

• $s$ is still the sign of the number
• $exponent$ is the value of the 11-bit exponent field
• $fraction$ is the 52-bit number in the fraction field.

In general, floating-point numbers are of the form

$$ (-1)^S \times2^{(E-127)} \times (1+F) $$