Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
In base 11 vs In base 10 10 = 11 20 = 22 30 = 33 So, it is simply dividing whatever value in base 11 by 10 then multiplying it back by 11, but digit by digit. Example, 45 in base 11: 45 = 40 + 5 (still true) = 40/10*11 + 5 (leave the 5 untouched) = 44 + 5 = 49 (in base 10)
131-126 = 5
15
log(5)125 = log(5) 5^(3) = 3log(5) 5 = 3 (1) = 3 Remember for any log base if the coefficient is the same as the base then the answer is '1' Hence log(10)10 = 1 log(a) a = 1 et.seq., You can convert the log base '5' , to log base '10' for ease of the calculator. Log(5)125 = log(10)125/log(10)5 Hence log(5)125 = log(10) 5^(3) / log(10)5 => log(5)125 = 3log(10)5 / log(10)5 Cancel down by 'log(10)5'. Hence log(5)125 = 3 NB one of the factors of 'log' is log(a) a^(n) The index number of 'n' can be moved to be a coefficient of the 'log'. Hence log(a) a^(n) = n*log(a)a Hope that helps!!!!!
Convert the base 10 numeral to a numeral in the base indicated. 503 to base 5
131/5 - 10 = 31/5
In base 11 vs In base 10 10 = 11 20 = 22 30 = 33 So, it is simply dividing whatever value in base 11 by 10 then multiplying it back by 11, but digit by digit. Example, 45 in base 11: 45 = 40 + 5 (still true) = 40/10*11 + 5 (leave the 5 untouched) = 44 + 5 = 49 (in base 10)
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.
In base 5, the digits are 0, 1, 2, 3, and 4. To convert 125 to base 5, we need to find the highest power of 5 that is less than 125, which is 5^3 or 125. Therefore, 125 base 10 is equivalent to 1000 base 5.
13.2 = 132/10 = 66/5 or 131/5
all factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
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
2203 in base 10, converted to base 5 is 323032203 in base 5, converted to base 10 is 303.
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 .
142120
131-126 = 5