Calculator Form
Example Data Table
| Operand A | Operand B | Width | Formula | Hex Result |
|---|---|---|---|---|
| A5 | 3C | 8 | ~(A5 | 3C) | 42 |
| 0F | 33 | 8 | ~(0F | 33) | C0 |
| FFFF | 0000 | 16 | ~(FFFF | 0000) | 0000 |
Formula Used
The bitwise NOR operation first compares two hexadecimal operands after converting them into binary. It applies OR at each bit position. Then it flips the OR result. The calculator also masks the final value to the selected width.
NOR = NOT (A OR B)
For one bit, the result is 1 only when both input bits are 0. Every other input pair returns 0. Width matters because the NOT step needs a fixed mask.
How to Use This Calculator
- Enter the first hexadecimal operand in the Operand A field.
- Enter the second hexadecimal operand in the Operand B field.
- Choose automatic width or enter a custom bit width.
- Select binary grouping for easier review.
- Choose prefix and letter case options.
- Press Calculate to see the result below the header.
- Use CSV or PDF buttons to save the output.
Hex Bitwise NOR Calculator Guide
Purpose
This hex bitwise NOR calculator helps you compare two hexadecimal values with a fixed bit width. It is useful for digital logic, masks, flags, register checks, embedded work, and learning binary operations. The tool accepts common hex formats. You may type values with or without a leading 0x prefix. Spaces, commas, dashes, and underscores are removed before validation.
Why Width Matters
Bitwise NOR depends on the selected width. A NOT operation cannot be complete without a boundary. For example, an 8 bit result and a 16 bit result may differ, even when the same visible operands are used. This calculator solves that issue by offering automatic width and custom width. Automatic mode uses enough bits to hold the larger input. Custom mode lets you model registers, packets, and masks.
Advanced Output
The result panel shows the normalized operands, the final NOR value, unsigned decimal, signed decimal, grouped binary, bit counts, parity, and zero status. These values help you inspect both the numeric result and the bit pattern. Signed output uses two's complement rules. That makes the same binary result easier to read in low level contexts.
Export Support
The CSV option creates a simple table for spreadsheets and records. The PDF option creates a compact report with the core calculation fields. These downloads are helpful when you need to document test cases or share a result with another developer.
Practical Notes
Use 8 bits for byte examples. Use 16 bits for short registers. Use 32 bits for common integer masks. Use 64 bits for wide values. For longer masks, choose a custom width up to 256 bits. The calculator trims overflowing input bits from the left, which matches fixed width masking behavior. Always confirm the width before relying on a NOT based result. This avoids confusing extra leading ones.
FAQs
What is bitwise NOR?
Bitwise NOR is the inverse of bitwise OR. Each output bit becomes 1 only when both matching input bits are 0. If either input bit is 1, the NOR bit becomes 0.
Why does this calculator ask for bit width?
Width defines the mask used after the NOT step. Without width, leading bits are unclear. An 8 bit NOR result can differ from a 16 bit result.
Can I enter values with 0x?
Yes. You may enter values like 0xA5 or A5. The calculator also removes spaces, underscores, commas, and dashes before checking the hex value.
What does automatic width do?
Automatic width selects enough bits to contain the larger operand. It rounds to a nibble boundary, so the hex result remains clean and readable.
How is the signed value calculated?
The signed value uses two's complement interpretation. If the leading bit is 1, the result is shown as a negative number for the selected width.
What is parity?
Parity tells whether the count of 1 bits is even or odd. It is often used in bit checks, simple error detection, and low level review.
Why is my result all zeros?
A zero result means every bit position had at least one input bit set after width normalization. Since NOR only returns 1 for two zero bits, no positions passed.
Can this handle large values?
Yes. The code works with binary strings and supports custom widths up to 256 bits. Decimal output is also built with string arithmetic.