The author of Instructables under the nickname dan talks about a set of chips for the game "Scrabble" (in the original - Scrabble), which allows instead of words to make expressions from binary numbers.
The master makes a new set of chips for the game with units, zeros, symbols of mathematical and logical actions:
If the board is magnetic, the chips should also be made so, for this, for example, advertising flexible fridge magnets are suitable. The number of chips of each type is shown below. The chip gives 1 point, unless otherwise indicated.
28 zeros and as many units
14 equal signs
5 pluses and as many minuses
3 signs of multiplication - 2 points
2 marks of division - 4 points
4 signs of operations OR, AND, NOT
3 spaces - 0 points
Rules of the game:
Unless otherwise specified, such rules apply as in a regular game
At each turn, the player makes an expression from scratch or using existing chips, the parts of which are equal on both sides of the equal sign
Players all the time keep with them 9 chips, not 7, as in the usual version of the game.
An example of a mathematical expression that is composed correctly: 1 + 1 = 10
An example of a logical expression composed correctly (calculated bitwise): 100 AND 1 = 101
You can add chips from either side or simultaneously from both sides to the existing correct expression to get another correct expression, for example, it was: 1 + 1 = 10, it became 11 + 1 = 100
For each move you can add only one new equal sign.
The players discuss the order of actions among themselves in advance: either according to mathematical rules (for example, multiplication first, then division), or according to the sequence of actions, as when calculating on a "dumb" calculator
The logical operation does NOT apply only to the number immediately following it
If there is no obvious sign of multiplication, then there is no multiplication
You can make an expression of several equal parts if you use the equal signs already on the board, but you cannot add more than one equal sign in one move, for example: 10x10 = 100 = 11 + 1
Redundant expressions are allowed, for example: 1-1 + 1-1 = 0 = 0 + 0
Negative numbers are not allowed unless players have figured out how to perform logical operations on them.
You can’t just put a plus sign in front of a positive number
When performing a logical operation with two numbers of different lengths, it is assumed that a shorter number is preceded by insignificant zeros, except for the operation NOT, for example: 101 AND 1 = 1
You cannot put more than one operation sign in a row, for example, like this: 1 + xx1 == 10
In a normal game, you can put two words in parallel if they together form a new word. Here, a sequence of two characters cannot be an expression, and this rule does not apply. Players can also accept the rule that one can make one long number from two parallel numbers, but the expression itself will have to be made differently.
The following rules players may mutually agree to "turn on" or "turn off":
1. The admissibility of multiplying by 1: 1 + 1 = 10 turns into 1 + 1 = 10x1
2. Same for addition with zero and subtract zero
3. The same for operations "AND 1" and "OR 0"
4. The following action is better allowed for the training period, but forbidden after its completion: the preparation of expressions of the type 1 + 1 = 10 + 0 + 0 + 0x1x1
If desired, you can add chips with the operation "EXCLUSIVE OR"
Now let's talk about how to count points. Unlike a regular game, adding chips to an existing expression only takes into account points for newly added chips. Cells with doubling and tripling points for a chip and for a word act as usual. For any expression, you can get a bonus according to its numerical value. For example, expressions like 1001x11 = 11000 are more expensive than expressions like 1 + 1 + 1 + 1 = 10. The bonus is equal to the binary logarithm of the "price" of the expression, rounded down. In a binary system, this is just high-order. The bonus is added to the account before being multiplied by two or three when hit on the corresponding cells. For example: 1 + 1 = 10, the binary logarithm is 10, bonus points 2. Another example: 11x11 = 1001, the binary logarithm is 1000, bonus points 8. When a player drops out of the game, the amount remaining for him is added to his account, but not chips that have entered the game.
The following are examples of games played. In the first, the operations of multiplying by 1, adding and subtracting zero, the actions "AND 1" and "OR 0" are allowed:
In the next game, not every move is shown, for the sake of a joke, it is allowed to rotate the chip with the equal sign 90 °, thereby obtaining the binary number 11:
The master thanks all the friends who helped him debug the rules of the game on the go, until they took the form given above. Well, readers can come up with their own binary number board games.