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Simple MAM with any number as input

By Surround

Guide to build a simple MAM with "Power of 2"

The goal was to build a simple, modular machine where you can make any number.
No need to look around for the correct numbers you can place it anywhere and input any number.

Award

Created by

Surround
Offline

Category: Gameplay Basics

Languages: English

Posted

Updated

2 Sep, 2024 @ 12:04pm

4 Sep, 2024 @ 12:24pm

1,460	Unique Visitors
17	Current Favorites

Guide Index

Overview

Dividers

Adder, Substractor and Multiplier

The final number.

Screenshot of my current savegame.

2^24 optimized

2^23

2^22

2^21

2^20

2^19

2^18

2^17 to 2^6

And finally from 2^0 to 2^5 :-)

Comments

Dividers

Everything starts with a "1". :-)

At first we need "Dividers" to create 1´s.
Take any number but input them in pairs so we get a 1.

Adder, Substractor and Multiplier

Now we add all those 1´s together

In this example we need twelve 1´s to create our base "2" and the exponent "24".

Every module starts with a "2" this is our "Base".
Add together two 1´s.
Seen on the left side of the screenshot.

With the other "Adders" and "Multiplier" we build the "Exponent".
Add together six 1´s and add together four 1´s and multiply them.

Now put both into the "Exponentiator"
2 in A
24 in B

= 2^24 = 16,777,216

Now we will repeat this down to 1.
I will add more examples for the other numbers at the end of the guide.

The final number.

After we created all numbers form 2^0 = 1 to 2^24 = 16.777.216

We need to add together the correct numbers to get our final number we want.

In the screenshot we add together 1 + 4 + 8 +64 + 1024 + 2048 + 4096 + 8192
and get the number 15437.
But how do we know which numbers need to be added?
Use the Windows Calculator and select the Programmer view.

Type in the number you want and look at the binary code.
In our case the calculator shows 0011 1100 0100 1101.
Read the number from right to left.
Right = lowest number.
Most left = highest number.

8192

4096

2048

1024

512

256

128

I suggest to pair the numbers in group of four for better readability.

The game supports Numbers up to 2^31-1 = 2.147.483.647

This is my first guide ever written on Steam.
I hope some of you find this useful.

Screenshot of my current savegame.

2^24 optimized

Requires only 11 belts of 1`s instead of 12.

2^23

Optimized version of 2^23.
Requires only 12 belts of 1`s instead of 13.

2^22

2^21

2^20

2^19

2^18

2^17 to 2^6

... snipped ...
i think you get the point from the other screenshot how to build all the numbers.

And finally from 2^0 to 2^5 :-)

5 Comments

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al.kisurin 22 Mar @ 1:45am

The only thing I would add to your explanation is a small Python script that helps decompose any number into a sum of powers of two:

number = 9999
parts = [str(1 << i) for i, bit in enumerate(bin(number)[2:][::-1]) if bit == '1']
print(f"{number} = {' + '.join(reversed(parts))}")

Run this in any online Python interpreter and you'll get the result:
9999 = 8192 + 1024 + 512 + 256 + 8 + 4 + 2 + 1

Popcat! 22 Feb @ 6:05am

what da fak

kettcardriverprofi 6 Feb @ 7:57am

Why exactly use the divider to get 1s? Aren't there enough on the map??

Surround [author] 17 Oct, 2024 @ 7:42am

Each MAM deliver one full belt.

magnus.stenum 14 Oct, 2024 @ 2:43pm

how big is your final output? like how many belts do you deliver with yor number?

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