subtract 243 base 5 from 243 base 6?
I would change both to base 10, then do the arithmetic.
2435 = 2(5^2) + 4(5) + 3 = 73
2436 = 2(6^2) + 4(6) + 3 = 99
now do the subtraction
You don't say what base the answer is to be.
To subtract 243 base 5 from 243 base 6, we need to convert both numbers to the same base.
First, let's convert 243 base 5 to base 6.
To do this, we need to find the value of each digit in base 6.
The digits in base 5 are 0, 1, 2, 3, and 4.
The digits in base 6 are 0, 1, 2, 3, 4, and 5.
In base 6, the value of the digit '4' in base 5 would be '5'.
Therefore, 243 base 5 is equivalent to 253 base 6.
Now we can subtract 253 base 6 from 243 base 6.
2
- 253 (base 6)
-------
-10
Since there is a negative result, we need to borrow from the leftmost digit.
16 (base 6)
- 253 (base 6)
-------
-10 (base 6)
So, the result of subtracting 243 base 5 from 243 base 6 is -10 base 6.
To subtract two numbers in different bases, you first convert both numbers to the same base, and then perform the subtraction in that base.
Step 1: Convert 243 base 5 to base 6:
To convert a number from base 5 to base 6, we need to find its equivalent in base 10 and then convert it to base 6.
243 base 5 = (2 * 5^2) + (4 * 5^1) + (3 * 5^0)
= (2 * 25) + (4 * 5) + (3 * 1)
= 50 + 20 + 3
= 73
So, 243 base 5 is equivalent to 73 base 6.
Step 2: Subtract 73 base 6 from 243 base 6:
Now that both numbers are in base 6, we can subtract them.
243 base 6 - 73 base 6 = 170 base 6
Therefore, the result of subtracting 243 base 5 from 243 base 6 is 170 base 6.