953.674316
1,000,000,000
B
8,000,000,000
b
1,000,000
KB
976,562.5
KiB
1,000
MB
953.674316
MiB
1
GB
0.931323
GiB
953.674316
1,000,000,000
B
8,000,000,000
b
1,000,000
KB
976,562.5
KiB
1,000
MB
953.674316
MiB
1
GB
0.931323
GiB
Data storage and data transfer quantities appear throughout modern electrical engineering, from embedded system memory sizing to network infrastructure planning. The Byte Converter provides instant conversion between bits, bytes, kilobytes (KB), kibibytes (KiB), megabytes (MB), mebibytes (MiB), gigabytes (GB), gibibytes (GiB), terabytes (TB), tebibytes (TiB), petabytes (PB), and pebibytes (PiB) — covering both SI decimal (powers of 1,000) and IEC binary (powers of 1,024) unit systems.
Understanding the distinction between decimal and binary prefixes is essential in electrical engineering and computer science. The SI (International System of Units) defines kilo as 10³ = 1,000, mega as 10⁶ = 1,000,000, giga as 10⁹, and so on. The IEC 80000-13 standard introduced binary prefixes — kibi (Ki), mebi (Mi), gibi (Gi) — to unambiguously denote powers of 1,024. This distinction matters enormously in practice: a hard drive marketed as 500 GB (500 × 10⁹ bytes) appears as only 465.66 GiB in an operating system that counts in powers of 1,024 — a difference of over 34 GB worth of capacity that confuses consumers and engineers alike.
In embedded systems design, microcontroller and FPGA memory resources are specified in binary units: 256 KiB Flash, 64 KiB RAM. Network interface speeds are specified in decimal bits per second: 1 Gbps = 10⁹ bits/s. A file transfer that fills a 256 KiB (262,144 byte) buffer over a 100 Mbps (100 × 10⁶ bit/s) link takes 262,144 × 8 / 100,000,000 = 20.97 milliseconds. Mixing up KB and KiB in this calculation produces a 2.4% error — acceptable for rough estimates but problematic for precise timing in real-time systems.
Storage area networks (SANs), RAID arrays, and NAS systems used in data center electrical infrastructure are sized in TB or TiB depending on vendor convention. RAID controller documentation may specify rebuild time in MB/s (decimal) while the storage capacity is labeled in TB — combining these inconsistently leads to incorrect capacity planning. Data center power consumption models (power per petabyte of storage, PUE calculations) must use consistent units throughout to produce valid results.
In telecommunications and network engineering, bandwidth is always specified in decimal bits per second (bps, kbps, Mbps, Gbps). File sizes and storage, however, are traditionally in binary bytes (KiB, MiB, GiB) in operating systems. Converting between these requires careful attention to both the decimal/binary distinction and the bits/bytes distinction (factor of 8). A 10 Gbps optical link can transfer: 10 × 10⁹ / 8 = 1.25 × 10⁹ bytes/s = 1.25 GB/s = 1.164 GiB/s. Specifying the wrong unit when provisioning storage bandwidth leads to undersized links and bottlenecks.
Programmable logic controllers (PLCs) and industrial automation systems have memory resources specified in words, bytes, or kilobytes. Older Siemens S5 PLCs used 256-byte data blocks; modern S7-1500 PLCs have megabytes of work memory. Communications between PLCs over PROFINET or Modbus TCP involve packet sizes in bytes, buffer allocations in kilobytes, and throughput in Mbps. Correctly sizing these memory and communication resources requires comfortable conversion across all unit scales.
Cryptographic systems in electrical secure communication equipment (HSMs, secure key storage modules, smart meters) deal with key sizes in bits (128-bit AES, 256-bit AES, 4096-bit RSA) and certificate sizes in kilobytes. A 4096-bit RSA key is 512 bytes; a typical X.509 certificate with that key is 1–3 KB. Embedded secure elements with 32 KB of non-volatile storage must be carefully allocated across keys, certificates, and application data — requiring precise byte-level accounting.
This converter uses bits as the universal base unit, enabling exact conversion between all unit pairs. For decimal units: 1 KB = 8,000 bits, 1 MB = 8,000,000 bits, 1 GB = 8,000,000,000 bits. For binary units: 1 KiB = 8 × 1,024 = 8,192 bits, 1 MiB = 8 × 1,048,576 = 8,388,608 bits, 1 GiB = 8 × 1,073,741,824 = 8,589,934,592 bits. The output panel simultaneously shows bits, bytes, MB, MiB, GB, and GiB for complete reference.
All conversions route through bits as the base unit. The input value is multiplied by its bit-equivalent factor (e.g., 1 GB = 8,000,000,000 bits; 1 GiB = 8,589,934,592 bits) to obtain the total bit count. From this bit count, all output values are derived by division: bytes = bits/8, MB = bytes/1,000,000, MiB = bytes/1,048,576, GB = bytes/1,000,000,000, GiB = bytes/1,073,741,824. The selected target unit result is computed using the exact inverse factor. JavaScript 64-bit floating-point arithmetic maintains accuracy up to approximately 2⁵³ (9 × 10¹⁵) bits before precision loss — adequate for values up to ~1 Exabyte.
Typical data sizes: Microcontroller Flash: 32–2,048 KiB. DRAM chip: 512 MiB – 32 GiB. SSD: 256 GB – 8 TB. HDD: 1–20 TB. Blu-ray disc: 25–100 GB. Ethernet frame max: 1,518 bytes. USB 3.0 flash drive: 16–512 GB (decimal). Cloud storage: PB scale. Note: OS disk utilities (Windows, macOS, Linux) report in GiB but label it GB — a 1 TB HDD (1,000,000,000,000 bytes) shows as 931 GB in Windows because 1,000,000,000,000 / 1,073,741,824 = 931.32 GiB.
Inputs
Results
A 2 TB hard drive (2 × 10¹² bytes) reports as 1,862.6 GiB in operating systems using binary units. This 137.4 GiB (6.9%) discrepancy is why 2 TB drives appear as approximately 1.86 TB in Windows or macOS File Explorer.
Inputs
Results
A 4.7 GB DVD image = 37.6 billion bits. Over a 1 Gbps (1,000,000,000 bps) network link, transfer time = 37,600,000,000 / 1,000,000,000 = 37.6 seconds. This ignores protocol overhead (typically 5–15% for TCP/IP), so real transfer time would be approximately 40–45 seconds.
KB (kilobyte) in SI notation = 1,000 bytes (10³). KiB (kibibyte) in IEC notation = 1,024 bytes (2¹⁰). The difference is 2.4%. For small values this is minor, but the discrepancy grows: 1 TB (10¹² bytes) vs 1 TiB (2⁴⁰ bytes = 1.0995 × 10¹² bytes) — a ~9.95% difference. IEC 80000-13 (2008) introduced kibi, mebi, gibi, tebi prefixes specifically to eliminate ambiguity between decimal and binary interpretations.
Hard drive manufacturers use decimal GB (1 GB = 10⁹ bytes), so a 1 TB drive contains 10¹² bytes. Windows historically reports storage in GiB (1 GiB = 2³⁰ = 1,073,741,824 bytes) but labels the unit as 'GB'. Therefore: 10¹² / 1,073,741,824 = 931.32 GiB ≈ 931 'GB' in Windows. Linux uses GiB correctly labeled. macOS since 10.6 switched to decimal GB, showing 1.0 TB for a 1 TB drive. The drive is not defective — it is a unit labeling inconsistency.
A bit (b) is the fundamental unit of digital information, representing a binary state (0 or 1). A byte (B) = 8 bits. In computing, the byte is the basic addressable unit of memory — all file sizes and memory are measured in bytes or their multiples. Network speeds are measured in bits per second (bps, Mbps, Gbps) because serial transmission sends one bit at a time. This is why a 100 Mbps network connection transfers files at approximately 12.5 MB/s (100/8).
1 Terabyte (TB) = 10¹² bytes = 1,000,000,000,000 bytes (10⁴ × 10⁹). 1 Tebibyte (TiB) = 2⁴⁰ bytes = 1,099,511,627,776 bytes. Therefore 1 TiB is approximately 9.95% larger than 1 TB. The difference compounds at higher scales: 1 PiB is 12.6% larger than 1 PB. This matters greatly in data center capacity planning, billing systems, and SLA definitions where 'petabyte' must be unambiguously defined.
Network speeds always use decimal SI units in bits per second: 100 Mbps Ethernet = 100 × 10⁶ bps, 1 Gbps = 10⁹ bps, 10 Gbps = 10¹⁰ bps, 100 Gbps optical = 10¹¹ bps. File transfer rates are typically shown in MB/s or MiB/s. Converting: 1 Gbps / 8 = 125 MB/s = 119.2 MiB/s. Wireless standards (Wi-Fi 6: 9.6 Gbps, 5G: up to 20 Gbps theoretical) also use decimal Mbps/Gbps for rated speeds.
In ASCII encoding, 1 character = 1 byte. In UTF-8, characters range from 1 to 4 bytes (ASCII range = 1 byte, most Latin characters = 1–2 bytes, Chinese/Japanese = 3 bytes, emoji = 4 bytes). One pixel in a 24-bit RGB image = 3 bytes. A 1920×1080 uncompressed RGB frame = 1920 × 1080 × 3 = 6,220,800 bytes ≈ 5.93 MiB. At 60 fps: 373.25 MiB/s, which is why video compression (H.264, H.265) is essential for practical storage and transmission.
Typical embedded memory sizes: ATmega328P (Arduino Uno): 32 KiB Flash, 2 KiB SRAM. STM32F4 microcontroller: up to 2 MiB Flash, 256 KiB RAM. ESP32: 4–16 MiB external Flash, 520 KiB SRAM. Raspberry Pi 4: 2–8 GiB LPDDR4 RAM. FPGA configuration bitstreams range from 1 MiB (small FPGAs) to 100+ MiB (large Xilinx/Intel devices). Industrial PLC program memory: 1–64 MiB typical for mid-range controllers.
Storage size = sample_rate × bits_per_sample × channels × duration / 8 (to convert bits to bytes). Example: industrial oscilloscope at 250 MS/s, 12-bit resolution, 4 channels, 10 seconds: 250,000,000 × 12 × 4 × 10 / 8 = 15,000,000,000 bytes = 15 GB. For audio: 44,100 Hz × 16 bits × 2 channels × 3,600 seconds (1 hour) / 8 = 635,040,000 bytes ≈ 635 MB uncompressed WAV. Data acquisition system storage must be sized based on this calculation.
File system maximum file sizes: FAT32 = 4 GiB (4,294,967,295 bytes) — relevant for embedded systems and USB drives. exFAT = 128 PiB (theoretical). NTFS = 16 EiB (theoretical, practical ~16 TiB with standard cluster size). ext4 (Linux) = 16 TiB per file with 4K blocks, 1 EiB maximum volume. These limits matter when logging large data sets in embedded systems or industrial data acquisition platforms that use removable storage.
Roboculator Team
The Roboculator Team explains calculations, planning tools, and practical formulas in clear language for real-life situations.
How helpful was this calculator?
Be the first to rate!
Delta-Y (Delta-Wye) Impedance Converter
Electrical Conversion & Reference Tools
Horsepower to Kilowatts (HP to kW) Converter
Electrical Conversion & Reference Tools
Kilowatts to Horsepower (kW to HP) Converter
Electrical Conversion & Reference Tools
BTU to Kilowatts (BTU/hr to kW) Converter
Electrical Conversion & Reference Tools
Temperature Converter for Electrical Applications
Electrical Conversion & Reference Tools
Pressure Converter for Electrical Applications
Electrical Conversion & Reference Tools
