Convert 001010011 from binary to decimal notation:
Start with a total of 0
We raise it based on the value of th 9 terms.
Move left to right starting with a power of 8
Decrease powers by 1 until we get to the last term
Term 1
Term 1 = 0, so it has no value
Our total sum has no change, it is equal to 0
Term 2
Term 2 = 0, so it has no value
Our total sum has no change, it is equal to 0
Term 3
Since term 3 is 1, we assign it a value of 1 * (26) = 64
Our total sum is now equal to: 0 + 64 = 64
Term 4
Term 4 = 0, so it has no value
Our total sum has no change, it is equal to 64
Term 5
Since term 5 is 1, we assign it a value of 1 * (24) = 16
Our total sum is now equal to: 64 + 16 = 80
Term 6
Term 6 = 0, so it has no value
Our total sum has no change, it is equal to 80
Term 7
Term 7 = 0, so it has no value
Our total sum has no change, it is equal to 80
Term 8
Since term 8 is 1, we assign it a value of 1 * (21) = 2
Our total sum is now equal to: 80 + 2 = 82
Term 9
Since term 9 is 1, we assign it a value of 1 * (20) = 1
Our total sum is now equal to: 82 + 1 = 83
Final binary expansion
0 + 0 + 1(26) + 0 + 1(24) + 0 + 0 + 1(21) + 1(20)
Final Answer
Simplifying the binary expansion, we get: 0 + 0 + 64 + 0 + 16 + 0 + 0 + 2 + 1 = 83.
Test Your Knowledge?
- Binary means base _?
- Octal means base _?
- Hexadecimal means base __?
What is the Answer?
Simplifying the binary expansion, we get: 0 + 0 + 64 + 0 + 16 + 0 + 0 + 2 + 1 = 83.
How does the Base Change Conversions Calculator work?
Free Base Change Conversions Calculator - Converts a positive integer to Binary-Octal-Hexadecimal Notation or Binary-Octal-Hexadecimal Notation to a positive integer. Also converts any positive integer in base 10 to another positive integer base (Change Base Rule or Base Change Rule or Base Conversion)
This calculator has 3 inputs.
What 3 formulas are used for the Base Change Conversions Calculator?
Binary = Base 2
Octal = Base 8
Hexadecimal = Base 16
For more math formulas, check out our
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What 6 concepts are covered in the Base Change Conversions Calculator?
- base
- base change conversions
- binary
- Base 2 for numbers
- conversion
- a number used to change one set of units to another, by multiplying or dividing
- hexadecimal
- Base 16 number system
- octal
- base 8 number system
Example calculations for the Base Change Conversions Calculator
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