Base-N Subtraction
Subtract numbers in any arbitrary radix from base 2 to base 36 with column borrow tracking. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.
Select base and enter numbers.
Calculated Output
Step-by-Step Mathematical Proof
Active DerivationWhat Is Base-N Subtraction?
Base-N Subtraction computes the difference between two numbers in any base from 2 to 36, where each borrow provides the numerical value of base N.
How Does It Work?
Subtract digits column by column. If top digit < bottom digit, borrow 1 from the next higher column (adding base N to the current digit).
Mathematical Algorithm
Step-by-Step Example
Important Rules & Edge Cases
- All digits must be less than the selected base.
Practical Applications in Engineering
- Multi-radix arithmetic solvers.
- Digital logic simulation.
Common Mistakes to Avoid
- Caution: Borrowing 10 instead of base N.
Frequently Asked Questions
How much does a borrow add in base N?
A borrow from the adjacent column to the left always adds exactly N to the borrowing column.
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