Convert Bits to Gibibytes - Data Storage Converter
This converter transforms a value expressed in bits (b) into gibibytes (GiB), the binary unit defined by the IEC where 1 GiB = 2^30 bytes.
Use it when you need power-of-two accuracy for operating systems, file systems, memory sizing, or technical documentation that explicitly requires binary prefixes.
Governance
Record 0236df844687 • Reviewed by Fidamen Standards Committee
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Methodology
Core identity: 1 byte = 8 bits. Binary prefixes: 1 GiB = 1,073,741,824 bytes (2^30).
Conversion path: bits → bytes (÷8) → GiB (÷1,073,741,824). Combined factor: GiB = bits ÷ (8 × 1,073,741,824).
If you instead need decimal gigabytes (GB), use the decimal factor 1 GB = 1,000,000,000 bytes; the bit-to-byte step remains ÷8.
Key takeaways
GiB = bits ÷ (8 × 1,073,741,824). Use this when binary precision is required; use GB formulas for decimal contexts.
Worked examples
4,294,967,296 bits → 0.5 GiB.
17,179,869,184 bits → 2 GiB.
80,000,000,000 bits → 80,000,000,000 ÷ (8 × 1,073,741,824) ≈ 9.313 GiB.
F.A.Q.
Why use GiB instead of GB?
GiB is a binary unit (powers of two) and is unambiguous for software, memory, and file systems. GB is decimal (powers of ten) and is common in marketing and some specs. Pick the unit that matches your documentation or regulatory requirement.
Is the bit-to-byte factor always 8?
Yes. Modern byte definitions are 8 bits. The difference between GB and GiB arises from the prefixes (10^9 vs 2^30), not from the bit-to-byte relationship.
How should I round the output?
Keep full precision internally. Round for display to the number of decimals needed by your report or SLA—often 2–4 decimals for summaries, more for engineering detail.
Sources & citations
- IEC binary prefixes (kibi, mebi, gibi, tebi) overview — 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 Prefixes — 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: 0236df844687What changed (latest)
v1.0.0 • 2025-11-21 • 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 • 2025-11-21 • 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 21, 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 • 2025-11-21 • 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: d96141aeb446
