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The digits in hexadecimal (or base 16 ) start with 0,1,2,3,4,5,6,7,8,9 (just like in base 10). The remaining base – 16 digits are A,B,C,D,E,F, corresponding in order to the remaining base -10 numbers less than 16 (namely 10,11,12,13,14,15).

How to convert from decimal to hex Divide the number by 16. Get the integer quotient for the next iteration. Get the remainder for the hex digit. Repeat the steps until the quotient is equal to 0.

So the largest number you can represent with 4 digits in base 16 is: Counting any higher than that would require that you utilize more digits. The very next number is 10000 in hexadecimal, or 65536 in decimal. It is a well-known value in computer science and is called “64K.”

Decimal, also called Hindu-Arabic, or Arabic, number system, in mathematics, positional numeral system employing 10 as the base and requiring 10 different numerals, the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It also requires a dot ( decimal point) to represent decimal fractions.

Steps To Convert From Base 10 To Base 16 – Multiply the given fraction (in base 10 ) with 16. Write the real part and fractional part of the result so obtained separately. Multiply the fractional part with 16. Write the real part and fractional part of the result so obtained separately.

How to convert from decimal to hex Divide the decimal by 16 until the result is 15 or less. Take the whole number (before the decimal point) and look up the corresponding hex value in the hex – decimal comparison list above (e.g. 10 = A, 15 = F). Take the remainder (after the decimal point) and multiply by 16.

In a positional numeral system, the radix or base is the number of unique digits, including the digit zero, used to represent numbers. For example, for the decimal / denary system (the most common system in use today) the radix (base number) is ten, because it uses the ten digits from 0 through 9.

As one hexadecimal digit can represent 16 unique values, two digits can represent 16 * 16 = 256.

Numeral systems conversion table

Decimal Base- 10 | Binary Base-2 | Hexadecimal Base- 16 |
---|---|---|

16 | 10000 | 10 |

17 | 10001 | 11 |

18 | 10010 | 12 |

19 | 10011 | 13 |

Octal to Decimal conversion table

Octal | Decimal |
---|---|

14 | 12 |

15 | 10 |

16 | 14 |

17 | 15 |

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

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