Convert each number from base 10 to the desired base. 94 94 int base 16 16

Welcome to the practice. For this problem, we'd like to convert 94 from base 10 into base 16. Our first step is to find the base and place values that we're converting to. The base, we're told, is 16, and the place values for base 16 are powers of 16. So we have 1, 1616 squared, 16 cubed, and so on and so forth, just increasing the power on 16 by 1, as we move to the next highest place value. For step two, we want to identify which of those place values are relevant here. Those are the place values or powers of 16 that are less than or equal to the number that we are converting into base 16, the base 10 number, which for this problem is 94. Now, looking at our powers of 16, we know that 1 and 16 are both less than or equal to 94. 16 squared is equal to 256, and that is not less than or equal to 94. So 16 squad, as well as every other higher power of 16, is not going to be relevant here. And the only place values that we'll use, when writing the quantity 94 in base 16, are the 16's place and the 1's place. I do like to have these slots here for my place values, because in step 3, which we're moving to next, we're going to find the digits in those place values one at a time, and I like having a place to just put them in as I'm finding them. Now, for step 3, we're going to go through each of our place values that we identified in step two, starting with the highest, and we're going to divide our base 10 number by that place value. So here, we're going to divide 94 by the place value 16. Now, you might need to do a bit of arithmetic here to figure out how many times 16 goes into 94. 16 times 1 is 16, times 2 is 32, times 3 is 48, times 4 is 64, times 5 is 80, times 6 is 96. So here we can see 96 is too high, 16 goes into 94 5 times. We're gonna subtract 16 times 5, which is 80, and we end up getting a remainder of 14. Now, the number up top, the quotient, is going to be the digit in this place value, the digit in the 16's place. The remainder is going to be the new base 10 number that we'll use when following the step for the next highest place value. So we're going to come over here and take that 14 and divide it by the next highest place value, which is 1. Now, 1 goes into 11 time, we subtract 1 and get 0, then bring down the 4, and 1 goes into 4. Or 4 times minus 4 is 0. So, the quotient up top here is going to be the digit in the 1's place. Now, as a reminder, when our base is higher than 10, we're going to need digits or symbols for values that are 10 or higher, and we use capital letters here. We know that A represents the value 10, B represents the value 11, C represents the value 12, D represents the value 13, and E represents the value 14. So, in base 16, the digit E represents the value 14, which is what we want in our one's place. So, we're gonna put an E in the one's place. We know that we're done because we do have digits now in each of our place values, and also because we ended up with a remainder of 0. So step 3 is all set here, and we end up getting as our answer, 5 E 16. Great work.