find the following
�ã(12&(-6))^12
To find the value of the expression (12&(-6))^12, let's break it down step by step:
Step 1: Evaluating the bitwise AND operator (&)
The bitwise AND operator (&) compares the corresponding bits of two numbers. In this case, we have 12 and -6 as operands.
The binary representation of 12 is 1100, and the binary representation of -6 is 1010 (using two's complement representation). When we perform the bitwise AND operation, we get:
1100 (12 in binary)
& 1010 (-6 in binary)
---------
1000 (result in binary)
Step 2: Evaluating the exponentiation (^)
After performing the bitwise AND operation, we now have 1000 as the base with an exponent of 12. The exponentiation (^) operator raises a number to a given power.
So, to calculate (1000)^12, we multiply the base 1000 by itself 12 times:
(1000)^12 = 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000 * 1000
Calculating this may be tedious, but you can use a calculator or a programming language to simplify the process.
If you use a calculator, you can directly calculate (12&(-6))^12 in one go. If you use programming, you can use a bitwise AND operation followed by exponentiation within the code.