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What is the largest unsigned integer that may be stored in 24 bits?

User Aherve
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Final answer:

The largest unsigned integer that can be stored in 24 bits is 16,777,215. This is calculated as 2 to the power of 24 minus 1, since all 24 bits are set to 1.

Step-by-step explanation:

The question asks what the largest unsigned integer is that can be stored in 24 bits. In binary, the largest number you can represent with a given number of bits is found by setting all bits to 1. With 24 bits, the largest value is 111111111111111111111111, which, when converted to decimal, is 2 to the power of 24 minus 1, since we count from 0. Thus, the calculation for the largest 24-bit unsigned integer is 224 - 1.

To perform this calculation more easily, we note that 24 is a multiple of 8. So, we can consider it as 28 multiplied by 216. The value of 28 is 256, and 216 is 65,536. Multiplying these together gives us 256 * 65,536, which equals 16,777,216. Finally, subtracting 1 from this product yields the largest 24-bit unsigned integer: 16,777,215.

User Venkatesh Bachu
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