Convert Bits to Mebibytes - Data Storage Converter
This converter translates bits (b) into mebibytes (MiB), the binary unit equal to 1,048,576 bytes (2^20). Use it for software, file systems, memory sizing, and any context requiring binary-accurate units.
Governance
Record a9774e00110f • Reviewed by Fidamen Standards Committee
Interactive Converter
Convert between bit and mebibyte with precision rounding.
Quick reference table
| Bit | Mebibyte |
|---|---|
| BIT 1 b | MIB 0.00 MiB |
| BIT 5 b | MIB 0.00 MiB |
| BIT 10 b | MIB 0.00 MiB |
| BIT 25 b | MIB 0.00 MiB |
| BIT 50 b | MIB 0.00 MiB |
| BIT 100 b | MIB 0.00 MiB |
Methodology
Core identity: 1 byte = 8 bits. Binary prefix: 1 MiB = 1,048,576 bytes (2^20).
Conversion path: bits → bytes (÷8) → MiB (÷1,048,576). Combined: MiB = bits ÷ (8 × 1,048,576).
If you need decimal megabytes (MB) instead, use the decimal factor 1 MB = 1,000,000 bytes. The bit-to-byte step remains ÷8; only the divisor changes.
Key takeaways
MiB = bits ÷ (8 × 1,048,576). Use this for binary-accurate conversions; swap the divisor to 1,000,000 for decimal MB.
Worked examples
16,777,216 bits → 2 MiB.
104,857,600 bits → 104,857,600 ÷ (8 × 1,048,576) ≈ 12.5 MiB.
1,000,000 bits → 1,000,000 ÷ (8 × 1,048,576) ≈ 0.119 MiB.
F.A.Q.
When should I use MiB instead of MB?
Use MiB for binary-accurate contexts (file systems, OS reporting, memory). Use MB for decimal contexts (vendor marketing, SI-based specs). Always match the unit convention of your audience.
Is the bit-to-byte factor different in binary?
No. 1 byte = 8 bits everywhere. The difference between MiB and MB comes from the prefix (2^20 vs 10^6), not from the bit-to-byte relationship.
How should I round?
Keep full precision for calculations. Round display values to the number of decimals required by your report or SLA (often 2–4 decimals).
Sources & citations
- NIST — Binary prefixes (kibi, mebi, gibi) reference — https://physics.nist.gov/cuu/Units/binary.html
- ISO/IEC quantities and units — https://www.iso.org/standard/43348.html
- NIST — Reference on Units and Symbols — https://physics.nist.gov/cuu/Units/
- IEC 80000-13:2008 — Information science and technology — https://www.iso.org/standard/31898.html
- NIST SP 811 — Guide for the Use of the International System of Units — https://www.nist.gov/pml/special-publication-811
Further resources
Versioning & Change Control
Audit record (versions, QA runs, reviewer sign-off, and evidence).
Record ID: a9774e00110fWhat changed (latest)
v1.0.0 • 2025-11-05 • MINOR
Initial publication and governance baseline.
Why: Published with reviewed formulas, unit definitions, and UX controls.
Public QA status
PASS — golden 25 + edge 120
Last run: 2026-01-23 • Run: golden-edge-2026-01-23
Versioning & Change Control
Audit record (versions, QA runs, reviewer sign-off, and evidence).
What changed (latest)
v1.0.0 • 2025-11-05 • MINOR
Initial publication and governance baseline.
Why: Published with reviewed formulas, unit definitions, and UX controls.
Public QA status
PASS — golden 25 + edge 120
Last run: 2026-01-23 • Run: golden-edge-2026-01-23
Engine
v1.0.0
Data
Baseline (no external datasets)
Content
v1.0.0
UI
v1.0.0
Governance
Last updated: Nov 5, 2025
Reviewed by: Fidamen Standards Committee (Review board)
Credentials: Internal QA
Risk level: low
Reviewer profile (entity)
Fidamen Standards Committee
Review board
Internal QA
Entity ID: https://fidamen.com/reviewers/fidamen-standards-committee#person
Semantic versioning
- MAJOR: Calculation outputs can change for the same inputs (formula, rounding policy, assumptions).
- MINOR: New features or fields that do not change existing outputs for the same inputs.
- PATCH: Bug fixes, copy edits, or accessibility changes that do not change intended outputs except for previously incorrect cases.
Review protocol
- Verify formulas and unit definitions against primary standards or datasets.
- Run golden-case regression suite and edge-case suite.
- Record reviewer sign-off with credentials and scope.
- Document assumptions, limitations, and jurisdiction applicability.
Assumptions & limitations
- Uses exact unit definitions from the Fidamen conversion library.
- Internal calculations use double precision; display rounding follows the unit's configured decimal places.
- Not a substitute for calibrated instruments in regulated contexts.
- Jurisdiction-specific rules may require official guidance.
Change log
v1.0.0 • 2025-11-05 • MINOR
Initial publication and governance baseline.
Why: Published with reviewed formulas, unit definitions, and UX controls.
Areas: engine, content, ui • Reviewer: Fidamen Standards Committee • Entry ID: f89ed62a8cd8