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 .
11111
-6
11012
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.
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 .
11111
-6
11012
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.
Commonly numbers are base 10 already.
Multiply the base by square root of 10 to the 4th power then divide by 2! (factorial) times 10!
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.
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
The number represented in base 2 by the digits 111 is equal to the decimal number 7.