To convert base 10 to any other base:
1. divide the number by the new base to give a quotient and a remainder
2. note the remainder
3. set the number to the quotient
4. if the number is not zero repeat from step 1
5. write the remainders in reverse order.
eg 10810 to base 4:
108 ÷ 4 = 27 r 0
27 ÷ 4 = 6 r 3
6 ÷ 4 = 1 r 2
1 ÷ 4 = 0 r 1
→ 10810 = 12304
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
-6
To add two numbers in different bases, we first convert them to the same base. In this case, we convert 43 base 5 to base 10, which is 23. Then we convert 24 base 5 to base 10, which is 14. Adding 23 and 14 in base 10 gives us 37. Finally, we convert 37 back to base 5, which is 112. So, 43 base 5 plus 24 base 5 equals 112 base 5.
11012
To convert the number 124 in base 5 to base 10, you need to multiply each digit by the corresponding power of 5 and then sum the results. In this case, 124 in base 5 can be calculated as (1 * 5^2) + (2 * 5^1) + (4 * 5^0) = 25 + 10 + 4 = 39 in base 10. Therefore, 124 in base 5 is equal to 39 in base 10.
64.2510 = 64 + 1/4 = 26 + 2-2 = 1000000.01 in base 2.
I would convert to base 10 , multiply and then convert back to base 6. 35 base 6 is 3 * 6 + 5 = 23 in base ten. 4 * 23 = 92 which is 2*36 + 3* 6 + 2 , in base 6 , the answer is 232 .
-6
To add two numbers in different bases, we first convert them to the same base. In this case, we convert 43 base 5 to base 10, which is 23. Then we convert 24 base 5 to base 10, which is 14. Adding 23 and 14 in base 10 gives us 37. Finally, we convert 37 back to base 5, which is 112. So, 43 base 5 plus 24 base 5 equals 112 base 5.
11012
To convert the number 124 in base 5 to base 10, you need to multiply each digit by the corresponding power of 5 and then sum the results. In this case, 124 in base 5 can be calculated as (1 * 5^2) + (2 * 5^1) + (4 * 5^0) = 25 + 10 + 4 = 39 in base 10. Therefore, 124 in base 5 is equal to 39 in base 10.
To convert a number from base 2 (binary) to base 10 (decimal), you multiply each digit of the binary number by 2 raised to the power of its position from the right, starting at 0. Then, sum up these results to get the decimal equivalent. For example, to convert the binary number 1011 to decimal: 1*(2^3) + 0*(2^2) + 1*(2^1) + 1*(2^0) = 8 + 0 + 2 + 1 = 11.
Commonly numbers are base 10 already.
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
You will have to mention what base 1002 is in because it could be any base from 3 to 9.
To convert a number from base 5 to base 10, you multiply each digit by 5 raised to the power of its position from the right, starting at 0. In this case, for the number 43 base 5, you would calculate (4 * 5^1) + (3 * 5^0) = (4 * 5) + (3 * 1) = 20 + 3 = 23 base 10. Thus, 43 base 5 is equal to 23 base 10.
Example: converting 51 from base 8 to base 10. Step 1: base 8 to base 2 Step 2 : base 2 to base 10 first we need convert base 8 to base 2 000 -> 0 001 -> 1 010 -> 2 011 -> 3 100 -> 4 101 -> 5 110 -> 6 111 -> 7 so 5 = 101 1 = 001 so 51 = 101001 now step 2. converting base 2 to base 10 1x25 + ox24 + 1x23+ 0x22 + 0x21 + 1x20 = 41 Answer : 41