The decimal equivalent of 7E4_16 is which of the following?

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Multiple Choice

The decimal equivalent of 7E4_16 is which of the following?

Explanation:
Hex numbers use base-16 place values, so you convert by expanding each digit times 16 to the power of its position. The digits in 7E4_16 are 7, E, and 4, with E representing 14. Compute: 7*(16^2) + 14*(16^1) + 4*(16^0) = 7*256 + 14*16 + 4 = 1792 + 224 + 4 = 2020. So the decimal equivalent is 2020.

Hex numbers use base-16 place values, so you convert by expanding each digit times 16 to the power of its position. The digits in 7E4_16 are 7, E, and 4, with E representing 14. Compute: 7*(16^2) + 14*(16^1) + 4*(16^0) = 7256 + 1416 + 4 = 1792 + 224 + 4 = 2020. So the decimal equivalent is 2020.

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