Explanation:

- The hexadecimal number system is base 16, using digits from 0-9 and letters A-F.

- To convert from hexadecimal to decimal, each digit is multiplied by 16 raised to the power of its position (from right to left, starting at 0).

- For 5A6D:

- D = 13 and is in the 16^0 position, so 13 × 1 = 13.

- 6 = 6 and is in the 16^1 position, so 6 × 16 = 96.

- A = 10 and is in the 16^2 position, so 10 × 256 = 2560.

- 5 = 5 and is in the 16^3 position, so 5 × 4096 = 20480.

- Add them up: 20480 + 2560 + 96 + 13 = 23149.

- 23149 is the correct decimal equivalent.

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