How do you convert the following number from decimal form to the given base 5934 to base sixteen?

Answer 1

Divide 5934 by 16, you get a quotinet of 370 and a reamainder of 14. Mark this 14.

Now divide 370 by 16, you get a quotient of 23 and a remainder of 2, Mark this 2.

Now divide 23 by 16, you get a quotient of 1 and a reamainder of 7. Since you cannot divide 1 by 16, mark this 1, then retrace the path in reverse of of remainders, like 7, 2, and 14. So the hexadecimal equivalent of decimal 5934 would be the hexadecimal digits 1, 7, 2, and 14, but you cannot express 14 in hexadecimal as 14 but as 'E'. Therefore thehexadecimal number is 172E. To verify that place values in hexadecimal from the unit position to the left are 16^0, 16^1, 16^2, and 16^3, So the number 172E evaluates to

1 x 16^3 = 1 x 4096 = 4096

7 x 16^2 = 7 x 256 = 1792

2 x 16^2 = 1 x 16 = 32

14 x 16^0 = 14 x 1 = 14

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Total in decimal = 5934