SOLUTION: determine the decimal equivalent of the given number (155)16

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Question 814552: determine the decimal equivalent of the given number (155)16
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
I'm assuming that (155)16 represents 155 in base 16. If I am wrong then you will have to re-post your question (making it clearer).

Our numbering system is based on place values. And the values of the places represent various powers of the base:
  • The value of the rightmost digit is the base to the zero power.
  • The digit to the left of that has a value of the base to the first power.
  • The digit to the left of that has a value of the base to the second power.
  • etc.
So 155 in base 16 stands for:
1%2A16%5E2+%2B+5%2A16%5E1+%2B+5%2A16%5E0
Simplifying...
1%2A256+%2B+5%2A16+%2B+5%2A1
256+%2B+80+%2B+5
341
So 155 in base 16 is equal to 341 in base 10.