777β = 7Γ8Β² + 7Γ8ΒΉ + 7Γ8β° = 7Γ64 + 7Γ8 + 7 = 448 + 56 + 7 = 511.
Option A:
Option A correctly computes the base-8 expansion to 511.
Option B:
Option B (512) equals 8Β³ and corresponds to 1000β.
Option C:
Option C (343) is 7Β³ and unrelated to 777ββs place weights.
Option D:
Option D (409) is not the correct positional sum.
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