Friday 2 September 2011

Decimal to Hexadecimal Conversion

           The process of decimal-to-hexadecimal conversion is also similar. Since the hexadecimal number
system has a base of 16, the progressive division and multiplication factor in this case is 16. The
process is illustrated further with the help of an example.
Example 1.5
Let us determine the hexadecimal equivalent of (82.25)10
Solution
• The integer part = 82
Divisor Dividend Remainder
16 82 —
16 5 2
— 0 5
• The hexadecimal equivalent of (82)10
= (52)16
• The fractional part = 0.25
• 0.25 × 16 = 0 with a carry of 4
• Therefore, the hexadecimal equivalent of (82.25)10
= (52.4)16

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