Bit to Exbibyte

A bit is a single binary value (0 or 1); a byte is a group of 8 bits. Bytes are the standard unit for file sizes, memory, and storage. Network speeds are typically quoted in bits per second (Mbps), while file sizes use bytes (MB) — so a 100 Mbps connection downloads 100 megabits, or about 12.5 megabytes, per second.

Networking hardware physically transmits one bit at a time over a wire or radio signal, so bits per second is the natural unit for measuring throughput. The convention predates widespread file-size awareness. When you see "100 Mbps broadband", your actual download speed in MB/s is about 1/8 of that — roughly 12.5 MB/s.

A classical bit is definitively 0 or 1. A qubit can exist in a superposition of both states simultaneously, described by two complex probability amplitudes. When measured, a qubit collapses to 0 or 1 — yielding one classical bit of information. The power of qubits lies in entanglement and interference during computation, not in storing more data per unit. A 100-qubit quantum computer does not store 100 bits more efficiently; it explores 2¹⁰⁰ computational paths in parallel for specific algorithm types like factoring and search.

Information theory, developed by Claude Shannon in 1948, quantifies how much information a message contains. One bit is the amount of information needed to resolve a choice between two equally likely outcomes. This abstraction underpins all digital compression, encryption, and error-correction — from MP3 audio to HTTPS security.

In practice, modern computers cannot address or store a single bit individually — the minimum addressable unit is one byte (8 bits). Trying to store a single bit requires a full byte, with 7 bits unused. Some specialised hardware and bit-packing algorithms can store multiple boolean values per byte, but standard memory hardware works at byte granularity.

EB (exabyte) = 10¹⁸ bytes (SI decimal). EiB (exbibyte) = 2⁶⁰ bytes = 1,152,921,504,606,846,976 bytes (IEC binary). EiB is 15.29% larger. This is the largest practically significant SI vs IEC discrepancy: per exbibyte, the binary value exceeds the decimal value by approximately 152,921,504,606,846,976 bytes — about 152.9 petabytes.

One exbibyte (EiB) ≈ 1.153 × 10¹⁸ bytes = 1,073,741,824 GiB = 1,048,576 TiB. In practical terms: enough to store approximately 230 billion JPEG photos at 5 MB each, or 288,230,376 copies of a 4 GB HD movie, or the entire text content of the English internet many thousands of times over.

In theory, yes — and with astonishing density. DNA can encode about 215 PiB per gram of material, meaning a single EiB could fit in roughly 4.7 grams of synthetic DNA. Researchers at Microsoft and the University of Washington have demonstrated writing and reading megabytes of data in DNA strands. The challenges are speed and cost: current DNA synthesis writes about 400 bytes per second and costs around $3,500 per megabyte. At that rate, writing 1 EiB would take billions of years and cost more than global GDP. However, enzymatic synthesis breakthroughs could reduce costs by 6–8 orders of magnitude within decades.

Storing 1 EiB on modern HDDs would require roughly 57,000 drives of 20 TB each, consuming about 400–500 kW of power just for the drives — plus 200–300 kW for cooling, networking, and overhead. That totals roughly 6 GWh per year, equivalent to powering about 550 US homes. At typical US grid carbon intensity, this produces around 2,500 tonnes of CO₂ annually. Hyperscale operators reduce this via renewable energy and immersion cooling, but the fundamental physics of spinning magnetic platters or maintaining NAND charge states sets a floor on energy consumption that no software optimisation can eliminate.

After exbibyte (EiB, 2⁶⁰ bytes) come: zebibyte (ZiB, 2⁷⁰ bytes) and yobibyte (YiB, 2⁸⁰ bytes), as defined in IEC 80000-13. These are recognized standard units but have no current practical applications. The entire global internet's estimated stored data (hundreds of EB) is still in the low hundreds of EiB range — well short of one ZiB.