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The decimal (base 10) equivalent to the hexadecimal number ACE16 is equivalent to

Question

The decimal (base 10) equivalent to the hexadecimal number ACE16 is equivalent to

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Solution

To convert a hexadecimal number to decimal, you need to understand that hexadecimal is a base 16 number system. This means it uses 16 digits: 0-9 and A-F, where A is 10, B is 11, C is 12, D is 13, E is 14, and F is 15.

The hexadecimal number ACE16 can be broken down as follows:

A = 10 (in decimal) C = 12 (in decimal) E = 14 (in decimal)

The next step is to multiply each digit by 16 to the power of its position, counting from right to left and starting from 0.

So, the calculation would be:

A (10) * (16^2) = 2560 C (12) * (16^1) = 192 E (14) * (16^0) = 14

Finally, add these values together:

2560 + 192 + 14 = 2766

So, the decimal equivalent of the hexadecimal number ACE16 is 2766.

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