Fidamen

Convert Bytes to Mebibytes - Data Storage Converter

This converter converts a quantity expressed in bytes into mebibytes (MiB) using the exact binary definition. Mebibyte (MiB) is a binary prefix unit defined by international standards to mean 2^20 bytes.

Use this tool when you need an unambiguous, standards-based conversion (for example, technical documentation, storage capacity calculations, or data engineering). The conversion is exact and suitable for automated workflows and reporting that require IEEE/IEC/ISO-consistent units.

Updated Nov 22, 2025QA PASS — golden 25 / edge 120Run golden-edge-2026-01-23

Governance

Record 46b58b9f56ad • Reviewed by Fidamen Standards Committee

Interactive Converter

Convert between byte and mebibyte with precision rounding.

Quick reference table

ByteMebibyte
1 BMIB 0.00 MiB
5 BMIB 0.00 MiB
10 BMIB 0.00 MiB
25 BMIB 0.00 MiB
50 BMIB 0.00 MiB
100 BMIB 0.00 MiB

Methodology

The conversion uses the binary prefix definition standardized by international standards bodies (IEC/ISO) and referenced by U.S. standards guidance. Under this definition 1 mebibyte (1 MiB) equals 2^20 bytes = 1,048,576 bytes.

For clarity and reproducibility we follow the conventions documented by national metrology organizations. This approach avoids ambiguity between binary prefixes (kibi-, mebi-, gibi-) and decimal SI-like prefixes (kilo-, mega-, giga-) which are sometimes used inconsistently in marketing and consumer contexts.

Worked examples

1,048,576 bytes → 1 MiB (exact)

5,000,000 bytes → 4.76837158203125 MiB (approximate; shows fractional MiB)

536,870,912 bytes → 512 MiB (exact because 536,870,912 = 512 × 2^20)

F.A.Q.

What is the exact relationship between bytes and MiB?

1 MiB = 2^20 bytes = 1,048,576 bytes. Convert by dividing the byte count by 1,048,576.

How is MiB different from MB (megabyte)?

MiB (mebibyte) uses binary powers (base 2) and equals 1,048,576 bytes. MB (megabyte) conventionally uses decimal powers (base 10) and commonly equals 1,000,000 bytes. Use MiB when you need unambiguous binary units.

How should I round the result?

Choose rounding based on context: for technical accuracy show at least 6 significant digits for fractional MiB, or round to 2–3 decimal places for user-facing displays. For exact storage accounting, keep integer byte counts and use MiB for aggregate reporting.

Why should I prefer binary prefixes in technical documents?

Standards bodies (IEC/ISO) and national metrology institutes recommend binary prefixes (KiB, MiB, GiB) when the base-2 meaning is intended. This prevents ambiguity and aligns with measurements reported by many operating systems and engineering tools.

Does my operating system report sizes in MiB or MB?

It varies: some systems and tools display sizes using decimal prefixes (MB = 1,000,000 bytes) while others use binary-based displays but label them differently. Check the OS/tool documentation. For reproducible results, always inspect whether the tool uses base-2 or base-10 units.

Is this conversion appropriate for billing or regulatory reporting?

Use the unit convention specified by the contract or regulation. When no convention is specified, prefer the unambiguous binary prefix (MiB) for technical reporting; document the unit and conversion method. Consult applicable regulatory guidance or procurement documents for required conventions.

How can I implement this conversion in code?

Divide the byte count by 1048576.0 (which is 2^20) to obtain MiB as a floating-point value. For integer MiB values, perform integer division by 1,048,576.

Sources & citations

Further resources

Versioning & Change Control

Audit record (versions, QA runs, reviewer sign-off, and evidence).

Record ID: 46b58b9f56ad

What changed (latest)

v1.0.0 • 2025-11-22 • 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 22, 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 • 2025-11-22 • 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: 5daccad05d81