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  • Number Bases: Convert from Hexadecimal (Base 16) to Decimal (Base 10)?

    Anonymous Christian
    Sep 5, 2014
    MATH
    Comments Off on Number Bases: Convert from Hexadecimal (Base 16) to Decimal (Base 10)?

    Answer

    A base 10 analogy will be helpful.
    In base 10 we start with 10^0, 10^1 etc for the “values of the position” to the “left” of the decimal point. For the “values of the positions” to the “right” of the decimal point, its 10^(-1), 10^(-2) etc.

    Hexadecimal is just base 16.
    Similarly, In base 16 we start with 16^0, 16^1 etc for the “values of the position” to the “left” of the decimal point. For the “values of the positions” to the “right” of the decimal point, its 16^(-1), 16^(-2) etc.

    So for 16.3852 we get
    For the “left of the decimal”, value of ‘6’ is just 6 multiply the “value of this position” which is “16^0″… and so on. We get,
    16. 3852
    =1*16^1+ 6*16^0+ 3*16^(-1)+ 8*16^(-2)+ 5*16^(-3)+2*16^(-4)
    = 22.22 with a calculator.

    With the idea above, one can convert between any base to base 10.

anonymous-christian

Jonathan Ramachandran is founder at AnonymousChristian.org which serves as a Christian Blog discussing the Greater Hope of Biblical Christian in Christ Alone. He is also an IMO (International Math Coach) and a featuring Guitarist for many bands.

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