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Convert the denary number 44801 into hexadecimal

Sagot :

Numbers can be converted between bases.

The equivalent of 44801 in hexadecimal is: AF01

Denary numbers are simply base 10 numbers, while hexadecimal numbers are base 16 numbers

To convert from base 10 to base 16, we make use of division method (and we keep track of the remainders)

We keep dividing by 16, until we can no longer divide the numbers.

So, we have:

[tex]\mathbf{ 44801 \div 16 = 2800\ R\ 1}[/tex]

[tex]\mathbf{ 2800 \div 16 = 175\ R\ 0}[/tex]

[tex]\mathbf{ 175 \div 16 = 10\ R\ 15}[/tex]

[tex]\mathbf{ 10 \div 16 = 0\ R\ 10}[/tex]

Write out the remainders from bottom to top

(10) (15) 0 1

  • 10 in hexadecimal is A
  • 15 in hexadecimal is F

So, the number becomes: AF01

Hence, the equivalent of 44801 in hexadecimal is: AF01

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