You’re having a birthday!

We honor the date.

You’ve just turned a hundred!

(At least in Base Eight!)

You finally know how a century feels

On your mathematical birthday.

It’s your mathematical birthday!

Hope your mathematical birthday’s

Gonna be great!

You’ve lived it up so far,

But you can do more.

You’re batting a thousand!

(At least in Base Four!)

Let’s see what your second millennium brings

On your mathematical birthday.

For your mathematical birthday,

Let your mathematical family

See what’s in store!

‘Though you’re getting older,

No need to feel blue.

You look like a million!

(At least in Base Two!)

With “binary wishes and digital dreams,”

Have a mathematical birthday.

On your mathematical birthday,

May your mathematical wishes

Always come true!

But still, there’s some bad news.

In hexadecimal, you’ve turned forty.

(And God knows, life ends at forty!)

But don’t get discouraged --

We’ll try it again,

And recount your birthday

In standard Base Ten.

The “Big Sixty-Four” is the reason we’re here

For your mathematical birthday

On your mathematical birthday.

Happy Mathematical Birthday!

(Happy Birthday To You!)

Download “Mathematical Birthday.mp3

(Want the sheet music?)

Mom planned a big celebration for when she turned 64,

    because, as she said, “64 is a much cooler number than 65.”

            •  64 is both a perfect square (82) and a perfect cube (43);

                •  its representation in Base 2 is 1,000,000;

                    •  its representation in Base 4 is 1,000;

                        •  and its representation in Base 8 is 100.

(The spoken introduction to this song is intentionally identical in structure to the spoken intro to a wonderfully wicked little song called “You’re Only As Old As You Look” -- a song written in 1955 by a young Stephen Sondheim.  If you follow the link, it’s the first track on the album . . .)