Divide the number by 5, and the remainder in that division is the 'ones' (50) digit. Take that quotient (without the remainder) and divide by 5. The remainder is the 'fives' (51) digit. Continue dividing until you have zero, with a remainder and that will be the leftmost digit.
Example 27 (base ten) to base 5:
27 / 5 = 5, remainder 2
5 / 5 = 1, remainder 0
1 / 5 = 0, remainder 1
so 102 (base 5) is the same as 27 (base 10). You can check: 1 is in the (52=25) place, and the 2 is in the 'ones' place.
So (1*25) + (0*5) + (2*1) = 27
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
Repeatedly divide by 5 (noting the remainders) until the quotient is zero. Then write the remainders out in reverse order.
1225 = 1 x 52 + 2 x 5 + 2 = 3710
1D.12516
101.101 base 2
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
Okay - 43 in base five to base ten... The number 3 is easy - that stays the same. The number 4 is '5x4' which is 20. Add that to the 3 and you get 23. In base five - starting from the digit farthest right, every digit to the left, is five times the previous one.
Since 52 = 25, and twice 25 is 50, the answer is 200.
142120
Repeatedly divide by 5 (noting the remainders) until the quotient is zero. Then write the remainders out in reverse order.
Commonly numbers are base 10 already.
1225 = 1 x 52 + 2 x 5 + 2 = 3710
10011110 base 2 = 9E base 16
1D.12516
1. You have to know the base of the original number. 2. If the base of the original number is base 10, then you don't need to convert it to decimal because the original number is already a decimal number. This means the decimal numbering system is base 10 (i.e. it has 10 base digits-->0-9) 3. If the base of the original number is different than base 10, then you will need to use a mathematical conversion method (or a computer program/calculator) to convert the original number to decimal. For example: If the original number 1011 is a base 2 (binary) number, then you would use the following conversion method to convert it from base 2 to base 10: 1 * 2^0 = 1 * 1 = 1 1 * 2^1 = 1 * 2 = 2 0 * 2^2 = 0 * 4 = 0 1 * 2^3 = 1 * 8 = 8 Now add the right most column of numbers together (e.g.: 1+2+0+8=11). 11 is the decimal (base 10) equivalent to the original base 2 number 1011. Similar methods can be used to convert from other base numbering systems to decimal (e.g. base 5 to base 10)
The answer will depend on what base the given number is in!
101.101 base 2