Hello, Dean!

Since 16 is a power of 2, there is a special trick we can use.to binary

Convert each hexidecimal digit into its (four-digit) binary equivalent.

. . For example: .

We have: .

. . . . . . .

Answer: .

We have: .to decimal

. .

. .

I did this one in two stages.to hexadecimal

The integer: . . (use your favorite method)

The decimal: . . (This will take a while)

. . Let

Multiply by 16: .

. . Hence: .

We have: . .[1]

Multiply by 16: .

. . Hence: .

We have: .

Multiply by 16: .

. . Hence: .

We have: .

Multiply by 16: .

. . Hence: .

We have: .

Multiply by 16: .

. . Hence: .

We have: .

Multiply by 16: .

. . Hence: .

We have: .

. . But this brings us back to[1].

Hence, the decimal has a repeating cycle: .

Answer: .

But someone check my work . . .please!