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Base to be converted to was not included but we would assume conversion to base 10(decimal)
Answer and Explanation:
The 3DF in base 16 is a hex number so we need to convert to its equivalent binary/base 2 form:
We therefore each digit of given hex number 3DF in base 16 to equivalent binary, 4 digits each.
3 = 0011
D = 1101
F = 1111
We then arrange the binary numbers in order
3DF base 16 = 1111011111 in base 2
We then convert to base 10 =
= 1x2^9+1x2^8+1x2^7+1x2^6+0x2^5+1x2^4+1x2^3+1x2^2+1×2^1+1×2^0
= 991 in base 10