Convert hexadecimal 0x05DC to decimal.

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Multiple Choice

Convert hexadecimal 0x05DC to decimal.

Explanation:
Hexadecimal uses base 16, so each digit is multiplied by a power of 16 according to its position. For 0x05DC, drop the leading zero and read the digits as 5, D, and C with place values 16^2, 16^1, and 16^0. Compute: 5 × 256 = 1280; D (which is 13) × 16 = 208; C (which is 12) × 1 = 12. Add them: 1280 + 208 + 12 = 1500. Another way to see it is 0x5DC = 0x500 + 0xDC = 1280 + 220 = 1500. So the decimal value is 1500.

Hexadecimal uses base 16, so each digit is multiplied by a power of 16 according to its position. For 0x05DC, drop the leading zero and read the digits as 5, D, and C with place values 16^2, 16^1, and 16^0. Compute: 5 × 256 = 1280; D (which is 13) × 16 = 208; C (which is 12) × 1 = 12. Add them: 1280 + 208 + 12 = 1500. Another way to see it is 0x5DC = 0x500 + 0xDC = 1280 + 220 = 1500. So the decimal value is 1500.

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