Calculator Input
Example Data Table
| Input A | Input B | Operation | Result | Decimal Result |
|---|---|---|---|---|
| 1010 | 1100 | AND | 1000 | 8 |
| 1010 | 1100 | OR | 1110 | 14 |
| 1010 | 1100 | XOR | 0110 | 6 |
| 1010 | 1100 | NAND | 0111 | 7 |
| 1010 | 1100 | XNOR | 1001 | 9 |
Formula Used
Binary logic compares bits at the same position. Shorter inputs are left-padded with zeros so both values have equal length.
AND: 1 only when both bits are 1.
OR: 1 when at least one bit is 1.
XOR: 1 when bits are different.
NAND: NOT of AND.
NOR: NOT of OR.
XNOR: NOT of XOR.
NOT: flips each bit, so 1 becomes 0 and 0 becomes 1.
Examples
For bits A and B:
A AND B = A × B
A OR B = max(A, B)
A XOR B = (A + B) mod 2
NOT A = 1 − A
How to Use This Calculator
- Enter a binary value in Input A.
- Enter a binary value in Input B for two-input operations.
- Select the required logic operation.
- Click Calculate Binary Logic.
- Review the result panel shown above the form.
- Check the step table for each bit position.
- Use the graph to compare input and result bits.
- Download the report in CSV or PDF format.
Frequently Asked Questions
1. What does a binary logic calculator do?
It performs bitwise operations on binary numbers, such as AND, OR, XOR, NAND, NOR, XNOR, and NOT. It also shows padded inputs, decimal values, step-by-step bit results, and downloadable reports.
2. Why are zeros added to the left side?
Binary operations compare matching bit positions. If one input is shorter, leading zeros are added so both binary strings have equal length and can be processed correctly.
3. What is the difference between XOR and XNOR?
XOR returns 1 when the two bits differ. XNOR returns 1 when the two bits are the same. They are complements of each other.
4. Can I use long binary values?
Yes. The calculator accepts long binary strings, as long as they contain only 0 and 1. Longer inputs will also produce a larger bitwise step table and chart.
5. What happens in NOT A and NOT B?
These are unary operations. Only one input is used, and each bit is flipped individually. For example, 1010 becomes 0101.
6. Why is decimal conversion shown?
Decimal output helps you verify the binary result in a familiar numeric form. It is useful for checking calculations and comparing logic outputs quickly.
7. What does the graph display?
The graph plots bit values by position for Input A, Input B, and the result. It makes visual comparison easier, especially when working with longer binary strings.
8. Can I export the results?
Yes. Use the CSV button for spreadsheet-friendly output and the PDF button for a printable summary. Both exports are generated from the current calculated result.