Bits to Gigabytes (bit to GB)

1 bit equals 1.25×10⁻¹⁰ gigabytes exactly.

1 bit = 1.25×10⁻¹⁰ gigabytes

How to convert bits to gigabytes

To convert bits to gigabytes, multiply the number of bits by 1.25×10⁻¹⁰. This factor is exact. To go the other way, multiply gigabytes by 8,000,000,000.

gigabytes = bits × 1.25×10⁻¹⁰

Example: 10 bits = 1.25×10⁻⁹ gigabytes.

Decimal prefixes (kB, MB, GB) are powers of 1,000; binary prefixes (KiB, MiB, GiB) are powers of 1,024. Storage makers use decimal; Windows reports binary but labels it GB.

About these units

Bit (bit)

ComputingCurrent unit

The smallest unit of digital information: a single 0 or 1. Eight bits make a byte.

Bit is short for binary digit, and the word was coined by John W. Tukey. He shortened the phrase in a Bell Labs memo dated 9 January 1947. Claude Shannon first used it in print in his 1948 paper A Mathematical Theory of Communication and credited Tukey with the word. The idea predates the name: Ralph Hartley proposed a logarithmic measure of information in 1928, and punched cards, invented by Basile Bouchon and Jean-Baptiste Falcon in 1732 and developed by Joseph Marie Jacquard in 1804, already stored one bit per hole position.

A bit holds one of two values, written 0 or 1, and everything digital is built from them. Eight bits make a byte, so a bit is one eighth of a byte. Symbols for the unit are not settled: the IEC standard uses bit, while IEEE 1541-2002 recommends a lowercase b, with uppercase B reserved for the byte. The difference matters because internet speeds and file sizes are quoted in different units.

1 bit = 0.125 bytes (exactly).

Sources: Wikipedia: Bit; NIST: Prefixes for binary multiples

Gigabyte (GB)

ComputingCurrent unit

1,000,000,000 bytes (decimal). Storage manufacturers and phone makers use this definition.

The gigabyte is where the decimal-versus-binary dispute turned into lawsuits. Drive makers advertise capacity in decimal units, so a 500 GB drive holds 500 billion bytes, but Windows reports sizes in binary units and shows about 465.7 of what it labels GB for the same drive. Early challenges against Western Digital and Seagate were settled, with Western Digital adding disclaimers that usable capacity may differ from the advertised figure.

A 2019 lawsuit was decided in the manufacturers' favor, with the court relying on the decimal definition. For scale, one gigabyte holds roughly an hour of standard-definition video at 2.2 Mbit/s. A single-layer DVD+R holds about 4.7 GB and a single-layer Blu-ray about 25 GB. RAM is still often sized in binary gigabytes, which the IEC would call gibibytes.

1 gigabyte = 1,000,000,000 bytes (exactly).

Sources: Wikipedia: Gigabyte; Wikipedia: Binary prefix; Wikipedia: Gibibyte

Related conversions

See all digital storage units.