Binary Counter (Two's Complement)

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Binary Counter Implementation Using Two's Complement Representation =========================================================== A binary counter is a simple circuit that counts up, down or can be reset to zero. This implementation uses the two's complement representation to achieve this functionality. Two's Complement Basics ----------------------- The two's complement of a number is found by flipping all the bits and adding 1. For example, to find the two's complement of binary 0100, first flip all the bits to get 1011, then add 1 to get 1100. Counter Implementation ------------------------ To implement a binary counter using two's complement, we need to store the current count in a register and use a comparator circuit to determine when to increment or decrement the count. Here is the implementation: ```c void binary_counter(uint8_t *register) { uint8_t prev = 0; while (1) { uint8_t curr = *(register); if (curr == 255) { *(register) = 0; } else { *(register) = (uint8_t)(curr + 1); } // Add a small delay to see the counter incrementing delay(100); } } ``` Example Use Case ---------------- To use this binary counter, simply call the `binary_counter` function with a pointer to a register where you want to store the current count. ```c int main() { uint8_t count = 0; binary_counter(&count); return 0; } ``` Note: This implementation assumes that the register is initialized to zero and counts up. If you want it to count down, simply swap the increment and decrement logic in the `if` statement. Binary Counter Circuit Diagram ------------------------------- Here's a circuit diagram of the binary counter using two's complement representation: ```circuit +---------------+ | Comparator | | (curr == 255)| +---------------+ | | v +---------------+ | OR | | curr + 1 = next | +---------------+ | | v +---------------+ | MUX | | select = 0 | +---------------+ | | v +---------------+ | Register | | store count | +---------------+ ``` This diagram shows the basic components of a binary counter using two's complement representation. The comparator checks if the current count is equal to 255, and if so, sets the next count to zero. Otherwise, it increments the next count by one. The OR gate combines the increment and decrement logic, and the MUX selects between the incremented or decremented count. Finally, the register stores the current count. This implementation provides a basic binary counter using two's complement representation. You can modify this code to suit your specific needs.