Question

Express 241.23base8 to base 10

Answer 1

Answer:

The formula is 18 = 110 and 108 = 810. Everything else can be derived from that.

If you have a sequence of base 8 digits you want to convert to a base 10 number, process them from left to right, keeping a total you initialize at zero. For each digit x, set the total to 8*total+x. After processing the last digit, the total will be the base ten value of the base 8 sequence.

Step-by-step explanation:

75 in base 8 = 5*8^0 + 7*8^1 = 5 + 56 = 61

In general, to convert the number a_1a_2a_3...a_n from base k to base 10, use the formula:

a_n*k^0 + a_(n-1)*k^1 + ... + a_1*k^(n-1).137461(base8) = 1 x 8^0 + 6 x 8^1 + 4 x 8^2 + 7 x 8^3 + 3 x 8^4 + 1 x 8^5