purpleanime purpleanime
  • 22-06-2015
  • Mathematics
contestada

what is the value of the binary number 101 in base 10?

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kimeto3
kimeto3 kimeto3
  • 22-06-2015
The binary number 101 needs to be converted to base 10.
Label the binary number starting from the digit on the left with 0, 1, 2.
Then multiply each digit by 2(binary) raised to the power of the label it carries and then add all together to get the value in base 10
101=(1x2²)+(0x2¹)+(1x2⁰)
     =4+0+1
     =5
The answer is 5
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