MGMT 1000 Lecture 12: MGMT 1000 Lecture 12 Notes
MGMT 1000 Lecture 12 Notes – Reverse to Convert
Introduction
• We can use the same method in reverse to convert from base 10 to another base,
although the technique is not quite as simple.
• In this case, it is just a question of finding the value corresponding to the weight of each
digit such that the total will add up to the base 10 numbers that we are trying to
convert.
• Note that the value for each digit must be the largest value that will not exceed the
number being converted.
• If this were not true, then there would be more than a full grouping of the next less
significant digit.
• This idea is best clarified
• EXAMPLE
• Suppose that we are reverse converting the preceding example, and we assume that
there are six groups of 64 instead of seven.
• I this ase, the 8’s plae ad 1’s plae oied ust add up to ore tha 64, ad
e’e already see that is ipossile.
• This provides a simple methodology for the conversion.
• Start with the digit whose weight is the largest possible without exceeding the number
to be converted.
• Determine the largest value for that weight that does not exceed the number to be
converted.
• Then, do the same for each successive digit, working from left to right.
• EXAMPLE
• As an example, let us convert 612410 to base 5.
• The weights of each digit in base 5 are
• 15625 3125 625 125 25 5 1
• Clearly the 15625 digit is too large, so the result will be a six-digit base 5 number.
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