# Bitwise operations in gimkit

oh yeah, carrot is also why I am here

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Let’s break down how the `bitwise_and_with_power_of_2` function works:

1. Function Purpose: This function checks whether a specific bit (corresponding to 2𝑛2n) is set (i.e., equals 1) in the binary representation of a given number.
2. Function Logic:
• `number >> n`: This shifts the binary representation of `number` to the right by `n` positions. This effectively isolates the bit at the `n`-th position.
• `& 1`: This performs a bitwise AND operation with `1`, which checks whether the isolated bit is `1` (if the result is non-zero) or `0` (if the result is zero).
1. Return Value:
• If the `n`-th bit of `number` is `1`, the function returns 2𝑛2n.
• If the `n`-th bit of `number` is `0`, the function returns `0`.
1. Example Usage: Let’s analyze the example provided:

python

Copy code

``````number = 2863311530  # Binary: 10101010101010101010101010101010
n = 0
result = bitwise_and_with_power_of_2(number, n)
print(result)  # Output will be 1
``````
• `number` in binary: `10101010101010101010101010101010`
• Bit at position `n=0`: `0`
• `(number >> n) & 1` evaluates to `(2863311530 >> 0) & 1`, which simplifies to `2863311530 & 1`.
• `2863311530 & 1` equals `0`.
• Therefore, the function returns `0` because the bit at position `n=0` of `number` is `0`.
1. Summary:
• The function `bitwise_and_with_power_of_2` is designed to check if a specific bit in the binary representation of a number is set and returns the corresponding power of `2` if true, or `0` if false.

In the provided example, since the bit at position `n=0` of `number` is `0`, the output of `result` is `0`. If you change `n` to `1`, `2`, etc., you can check different bit positions accordingly. is what chat gpt said

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imo while loops are better, but for loops are insanely useful too. (also I’m back yay )

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Oh yeah I forgot to mention that I needed this for my 3D renderer lol, I don’t think I ever said that.

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