Question

Convert the following number to a number in the indicated base.4120 to base 16.

Answer 1

We need to convert 4120 into hexadecimal.

4120 is given in base 10, which means in decimal form.

First, divide 4120 into 16:

`(4120)/(16)=257`

The remainder is 8

Then, divide 257 into 16:

`(257)/(16)=16`

The remainder is 1

Then divide 16 into 16:

`(16)/(16)=1`

The remainder is 0.

Finally, divide 1 into 16:

`(1)/(16)=0`

The remainder is 1.

Therefore, we need to write down the remainders in reverse order to get the answer.

The decimal number 4120 converted to hexadecimal is therefore equal to 1018.