looked over my shoulder. Ms. Fractalli was yanking at her new lock.
âWhatâs wrong?â I asked.
âI was afraid Iâd lose the piece of paper with the instructions, the way I was always losing the key, so I put it in my purse,â she said. âThen I locked my purse in the cabinet, as I always do.â
âYou didnât memorize the combination?â I asked.
She shrugged. âI didnât get a chance to memorize it or even look at it. I was up pretty late grading the tests.â
âLet me see.â I liked playing with locks.
âItâs hopeless,â she said. âThere are too many combinations.â
I lifted up the lock and looked at it. There were five buttons on front, labeled A, B, C, D, E. âHow does it work?â I asked.
âIâm supposed to push some of them in,â she said. âBut I donât know which ones or how many.â
âI can get a saw,â Benedict said. âYeahâa power saw. Or those giant pliers they use on cars. Wait! Better idea! We could go to the high school and get some hydrochloric acid from the chemistry lab. That will eat right through it.â
He kept talking, but I stopped listening. The lock had all of my attention. I knew there were letters on it. But it reminded me of the kind of number problems weâd solved at the museum.
âItâs binary!â I shouted as the answer hit me.
âCool,â Benedict said. He stopped talking and looked over my shoulder. âYeah, youâre right.â
I turned toward Ms. Fractalli. âIf there was just one button, youâd only have two choices. Right?â I pushed down the button with A on it and then popped it back up.
âAnd two buttons would only give you four choices,â Benedict said.
âFor sure,â I said. It was definitely like the binary numbers weâd learned about. âAnd three buttons would be ⦠â
âEight!â Benedict said. âLike Dr. Thagorasâs light switches.â
I held up my right hand and stuck out one finger at a time, doubling the number with each new finger.
Pinkie.
âTwo.â
Ring finger.
âFourâ
Middle finger.
âEight.â
Benedict and Ms. Fractalli joined in.
Index finger.
âSixteen!â
Thumbâmy whole hand was spread wide.
âThirty-two!â
âThatâs not a lot at all,â Ms. Fractalli said. âI should have realized it right away.â
âSometimes, we all forget our math skills,â I said. I thought about those pennies that doubled every week for a year. Itâs a good thing the lock didnât have fifty-two buttons. Or even ten.
I started pushing the five buttons, going through the thirty-two possible combinations:
up-up-up-up-up
up-up-up-up-down
up-up-up-down-up
up-up-up-down-down
up-up-down-up-up
up-up-down-up-down
up-up-down-down-up
up-up-down-down-down
I tugged on the lock after each combination. I hoped I wasnât missing something. It seemed too easy. But then, after more than twenty attempts, I tried
down-up-down-up-down.
The lock pulled open.
âI did it!â I shouted.
âLogan, that was wonderful,â Ms. Fractalli said.
I noticed that the A, C, and E were pushed down. âAce,â I said. âIâll bet youâll never forget that combination.â
âAnd Iâll never forget how you two helped me,â she said.
âThatâs the power of two,â I said.
She looked at the clock. âHowâd you boys like another chance at the last part of the test?â
If anyone had ever told me Iâd be cheering at a chance to take a math test, I never would have believed it. But I was sure cheering then.
âReady?â I asked Benedict as we walked back to our desks with new copies of the test.
âLetâs ace this,â he said.
âShhh,â I said. âThat combination is a secret.â
But when Ms.
Clara Benson
Melissa Scott
Frederik Pohl
Donsha Hatch
Kathleen Brooks
Lesley Cookman
Therese Fowler
Ed Gorman
Margaret Drabble
Claire C Riley