Decimal-to-Hexadecimal Conversion

The process of decimal-to-hexadecimal conversion is also similar to decimal-to-binary and decimal-to-octal conversions. Since the hexadecimal number system has a base of 16, the progressive division and multiplication by 16 has been carried out in this conversion.

Find 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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