### A good answer might be:

    31A (base sixteen)   =

       3 × sixteen2 + 1 × sixteen1 + A × sixteen0

# Converting a Repn to Decimal Repn

As usual, to represent the number using base ten, write the base and "digits" in base ten, and then do the arithmetic:

    31A (base sixteen) = 3 × sixteen2 + 1 × sixteen1 + A × sixteen0

                       = 3 × 162 + 1 × 161 +  10 × 160

                       = 3 × 256 + 1 × 16 +  10 × 1  =  79410

You don't have to remember powers of 16 to do this conversion. All you need is powers of 2. For example, 162 = 24 ×24 = 28 = 256.

As another example: 163 = 24 ×24 ×24 = 212 = 22 ×210 = 4K

### QUESTION 8:

More practice: What integer is represented by 1B2 (base sixteen) ?

    1B2 = ____  × sixteen2 + ____ × sixteen1 +  ____ × sixteen0

    1B2 = ____10 × 162 + ____10 × 161 +  ____10 × 160

    1B2 = ____10 × ____10 + ____10 × ____10 +  ____10 × ____10

    1B2 = ____10