To convert the octal number (23174560_O) to decimal, we use the positional numeral system and the powers of 8.
The octal number (23174560_O) can be expanded as:
[2 \times 8^7 + 3 \times 8^6 + 1 \times 8^5 + 7 \times 8^4 + 4 \times 8^3 + 5 \times 8^2 + 6 \times 8^1 + 0 \times 8^0]
Let’s calculate:
[2 \times 8^7 = 2097152]
[3 \times 8^6 = 3145728]
[1 \times 8^5 = 32768]
[7 \times 8^4 = 28672]
[4 \times 8^3 = 2048]
[5 \times 8^2 = 320]
[6 \times 8^1 = 48]
[0 \times 8^0 = 0]
Now, summing these up:
[2097152 + 3145728 + 32768 + 28672 + 2048 + 320 + 48 + 0 = 5277736]
So, (23174560_O = 5277736_{10}).