Question

Convert the hexadecimal number 1a to base 10 [____].

Answer 1

The hexadecimal number 1a is equivalent to the decimal number 26. This is calculated by multiplying each hexadecimal digit by the corresponding power of 16 and summing the results.

Step-by-step explanation:

To convert the hexadecimal number 1a to base 10, we need to understand that in hexadecimal, each digit represents a power of 16. The number 1a in hexadecimal represents 1 times 16 to the power of 1 (which is 16 itself) plus a times 16 to the power of 0 (since a in hexadecimal is equivalent to 10 in decimal). Therefore, the conversion process would look like this:

1. Multiply 1 (the first digit) by 16¹ (16), which equals 16.
2. Multiply 10 (the value of 'a' in hexadecimal) by 16⁰ (1), which equals 10.
3. Add both results together: 16 (from step 1) + 10 (from step 2) = 26.

So, the hexadecimal number 1a equals 26 in base 10.