College Algebra word problem

Question

Convert 1001 to a base four numeral.

 

_______four

Answer 1

Hello, thank you for taking the time to post your question!

To convert 1001 to a base four numeral you want to follow a series of steps

1001 / 4 = 250 with remainder of 1

250 / 4 = 62 with a remainder of 2

62 / 4 = 15 with a remainder of 2

15 / 4 = 3 with a remainder of 3

3 / 4 = 0 with a remainder of 3

Then you take the remainders from the bottom to the top to get the number of 33221

I hope that helps you get moving in a better direction on this type of question! Feel free to reach out if you have any additional questions beyond that :)

Answer 2

Hi Bobbie,

1001 in base 4 is 33221₄ since 3*256+3*64+2*16+2*4+1*1=1001.

The orange factors are the place values in base 4.