Well, darling, to convert 19 in base 10 to base 8, you divide 19 by 8 to get 2 with a remainder of 3. Then you take that remainder and slap it in front of the 2 to get 23 in base 8. Voila! Math made fabulous.
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23 here is why base 8 means the first digits is 1s, we have 0,1,2,3,4,5,6,7 think of the 1s as 8^0s then the next digits is 8x, think of this as 8^1, So a 3 in the ones digits is still 3, but a 2 in the 8 digits, the second place, is 2 8x which is 16. So for example 10 in base 10 is 8+2 so it is 12 and 11 in base 10 is 8+3 so it is 13 19 is 23 because 19 is 16+3, that is to say, 2x8+2x1
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 expression 8 log base 8 of 19 can be rewritten as log base 8 of 19 raised to the 8th power. This is because the logarithm function is the inverse of the exponentiation function. Therefore, 8 log base 8 of 19 simplifies to log base 8 of 19^8.
503 base 10 = 767 base 8 503 base 8 = 323 base 10
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)
10 1/8 IS in fractional notation.