Numbers
Numbers is astack-based esoteric programming language created by User:Xorol.
Instructions
An interpreter made by Xorol can be found here Interpreter
Numbers currently has these instructions:
| Cmd | Description |
|---|---|
| 10 | Adds the top two values on the stack |
| 11 | Subtracts the top two values on the stack |
| 12 | Multiplies the top two values on the stack |
| 13 | Divides the top two values on the stack |
| 14 | Divides the top two values on the stack and pushes the floored quotient |
| 15 | Divides the top two values on the stack and pushes the quotient and remainder |
| 16 | Increments the top value on the stack |
| 17 | Decrements the top value on the stack |
| 18 | Pushes the digital root of the top value on the stack |
| 19 | Pushes the factorial of the top value on the stack |
| 20 | Pushes the following value onto the stack |
| 21 | Reverses the stack |
| 22 | Swaps the top two values on the stack |
| 23 | Discards the top value on the stack |
| 24 | Sets the control accumulator's value to the top value on the stack and discards it |
| 25 | Pushes the control accumulator's value onto the stack |
| 26 | Duplicates the top value on the stack |
| 27 | Clears the stack |
| 30 | Outputs the top value on the stack |
| 31 | Outputs the top value on the stack as an ASCII character |
| 32 | Outputs the entire stack in the format "1st-item 2nd-item 3rd-item" |
| 33 | Outputs the entire stack as an ASCII string |
| 34 | Takes input from the user as an integer and pushes it onto the stack |
| 35 | Takes input from the user as an ASCII character and pushes its ASCII value onto the stack |
| 36 | Takes input from the user as an ASCII string and pushes each character's ASCII value onto the stack |
| 40 | Only does the next instruction if the control accumulator's value is not 0 |
| 41 | Only does the net instruction if the control accumulator's value is 0 |
| 42 | Goto |
| 43 | Repeats the program |
| ~ | Halts the program |
Computational Class
Numbers is Turing-complete as every brainfuck instruction can be translated into it, given that the program starts with `20 0 20 0`.
| Brainfuck | Numbers |
|---|---|
| > | 21 24 21 25 |
| < | 24 21 25 21 |
| + | 20 1 10 |
| - | 20 1 11 |
| . | 31 23 |
| , | 35 |
| [ | 26 24 41 42 (the position of the end of the loop + 4 [to account for the goto statement]) |
| ] | 26 24 40 42 (the position of the start of the loop) |
Example programs
Hello, world!
The Hello World! program pushes each letter's corresponding ASCII values onto the stack, then prints the stack as a string
20 72 20 101 20 108 20 108 20 111 20 32 20 87 20 111 20 114 20 108 20 100 20 33 33
Truth-machine
The truth-machine takes input from the user, if it is a "1" it outputs "1"s indefinitely, if it's a "0" it outputs a singular "0"
34 26 24 40 42 9 30 ~ 30 42 9
Digital root calculator
It takes input from the user, and calculates the digital root using the formula 1+(n-1)%9. It takes advantage of the fact that the division instruction also pushes the remainder onto the stack.
34 18 30
Cat program
A cat program outputs whatever the user inputs
36 33