2,874 to base five
42,444 base 5
The difference between the decimal system and a number of any other base is what each digit represents.
For example, in the decimal system, the first digit on the right represents units, the second, tens (10^1), hundreds (10^2), etc.
By dividing a decimal number by five, the remainders will be successively the digits from left to right.
Take for an example, 2631
2631/5=526 R1 (units digit)
526/5=105 R1 (digit for 5)
105/5=21 R0 (digit for 5^2=25)
21/5=4 R1 (digit for 5^3=125)
4/5=0 R4 (digit for 5^4=625)
So the number 2631=410115
So proceed the same way for 2874 and post for answer check if you wish.
4,888
To convert the number 2,874 to base five, you need to understand how base systems work.
In the decimal system (base ten), we use ten digits (0-9) to represent numbers. Each digit's place value is a power of ten, starting from the rightmost digit with 10^0, then 10^1, 10^2, and so on.
In the base five system, there are five digits (0-4) to represent numbers. Each digit's place value is a power of five, starting from the rightmost digit with 5^0, then 5^1, 5^2, and so on.
To convert a decimal number to base five, you can divide the number repeatedly by five, noting down the remainders at each step until the quotient becomes zero. Then, read the remainders from bottom to top to get the base five representation.
Let's apply this method to convert 2,874 to base five:
Step 1: Divide 2,874 by 5.
Quotient: 574
Remainder: 4
Step 2: Divide 574 by 5.
Quotient: 114
Remainder: 4
Step 3: Divide 114 by 5.
Quotient: 22
Remainder: 4
Step 4: Divide 22 by 5.
Quotient: 4
Remainder: 2
Step 5: Divide 4 by 5.
Quotient: 0
Remainder: 4
The remainders, read from bottom to top, are 44244. Therefore, the base five representation of 2,874 is 44244.