Dividing 125 by 16 gives a quotient of 7 and a remainder of 13. In hexadecimal, 13 is represented by D. Therefore, 125 in decimal is written as 7Dββ. This reflects 7Γ16 + 13 = 112 + 13 = 125.
Option A:
Option A, 7Cββ, represents 7Γ16 + 12 = 124, which is one less than 125. The remainder is too small.
Option B:
Option B is correct because 7Γ16 = 112 and adding the remainder 13, mapped to D, gives 125. This matches the standard hex conversion process.
Option C:
Option C, 7Eββ, equals 7Γ16 + 14 = 126, one more than 125. It overshoots the required value.
Option D:
Option D, 7Fββ, corresponds to 7Γ16 + 15 = 127, which is even further from 125.
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