Converting binary 1010 to decimal involves using positional weights of powers of 2. From right to left, the bits represent 1, 2, 4 and 8. The pattern 1010 has 1 in the 8's place and 1 in the 2's place, giving 8 + 2. Thus the decimal value is 10, making Option B correct.
Option A:
Option A corresponds to the binary pattern 1000, which equals 8 in decimal. While 8 is one of the place values used in the calculation, it alone is not sufficient to represent 10. Therefore, Option A is incomplete and incorrect.
Option B:
Option B is correct because 1010β means 1Γ8 + 0Γ4 + 1Γ2 + 0Γ1. This sums to 8 + 2 = 10. The value matches the required decimal equivalent of the given binary number.
Option C:
Option C refers loosely to 1100β if interpreted, which equals 8 + 4 = 12, not 10. Even if we do not map directly, 12 is clearly different from 10 and therefore cannot be the correct answer.
Option D:
Option D suggests 14, which would correspond to 1110β equal to 8 + 4 + 2. Since our binary number does not have three consecutive ones, 14 cannot be its decimal value.
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