Base Conversion Operations Calculator

  Calculator Instructions:

This calculator allows you to add, subtract, multiply, or divide two numbers with different bases
  Search Engine Shortcut Examples:

20 base 6 + 50 base 4
30 base 4 * 20 base 2
35 base 6 - 42 base 8
22 base 6 / 44 base 3
2_6+50_4
30_4*20_2
35_6 - 42_8
22_6/44_3
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base <-- Enter Number 1 and base 1
base <-- Enter Number 2 and base 2
        

Perform the following subtraction between bases: 356 - 428
We do this by converting both terms to base 10

Convert 356 to base 10
Move left to right starting with a power of 1 and decrease powers by 1 until we get to the last term

Since term 1 is 3, we assign it a value of 3 * (61) = 18.
Our total sum is now equal to: 0 + 18 = 18.

Since term 2 is 5, we assign it a value of 5 * (60) = 5.
Our total sum is now equal to: 18 + 5 = 23.

We've evaluated all 2 terms and arrived at our answer:
Expressing in expansion, we get: 3(61) + 5(60)
Simplifying the expansion, we get: 18 + 5 = 23.

Convert 428 to base 10
Move left to right starting with a power of 1 and decrease powers by 1 until we get to the last term

Since term 1 is 4, we assign it a value of 4 * (81) = 32.
Our total sum is now equal to: 0 + 32 = 32.

Since term 2 is 2, we assign it a value of 2 * (80) = 2.
Our total sum is now equal to: 32 + 2 = 34.

We've evaluated all 2 terms and arrived at our answer:
Expressing in expansion, we get: 4(81) + 2(80)
Simplifying the expansion, we get: 32 + 2 = 34.

Finalize subtraction in base 10:
23 - 34 = -11