Kilobytes to Bits Converter

Kilobytes to Bits

Convert kilobytes (KB) to bits (b). Both measure digital storage, and the conversion comes up in computing, storage, internet work.

The Formula

`` bits = kilobytes × 8000 kilobytes = bits × 0.000125 `

One kilobyte is 8,000 bits, and one bit is 1.2500e-4 kilobytes.

Conversion Table

Kilobytes	Bits
1 KB	8,000 b
2 KB	16,000 b
5 KB	40,000 b
10 KB	80,000 b
25 KB	200,000 b
50 KB	400,000 b
100 KB	800,000 b
500 KB	4,000,000 b
1,000 KB	8,000,000 b

The Other Direction

Bits	Kilobytes
1 b	1.2500e-4 KB
2 b	2.5000e-4 KB
5 b	6.2500e-4 KB
10 b	0.00125 KB
25 b	0.003125 KB
50 b	0.00625 KB
100 b	0.0125 KB
500 b	0.0625 KB
1,000 b	0.125 KB

What Each Unit Is

Kilobytes (KB) — 1,000 bytes in decimal usage; 1,024 bytes in the binary convention (properly a kibibyte). The ambiguity dates to early computing, where 1,024 was close enough to "kilo" to reuse the prefix.

Bits (b) — a single binary digit — the smallest unit of information. Named by John Tukey in 1946, from "binary digit".

A Sense of Scale

• A page of plain text is about 2 KB
• A small icon is 5–20 KB
• Network speeds are quoted in bits per second
• A byte is 8 bits

Precision

The factor 8000 is rounded. For engineering work carry more digits than the table above, and round only at the end — rounding at each step compounds.

Watch Out For

• This converter uses decimal (1 KB = 1,000 bytes), which is what drive manufacturers and networks use. Windows reports binary, which is why a "1 TB" drive shows as 931 GB.

In Code

`javascript const kilobyteToBit = (value) => value * 8000; ``

Where This Conversion Comes Up

• Computing
• Storage
• Internet
• Media
• Backups

How Many Decimals Do You Need?

Rounding the factor costs accuracy, and how much depends on the factor. Converting 137 KB with the factor truncated at each decimal place:

Decimals kept	Factor	137 KB becomes	Error
0	8000	1,096,000	—
1	8000	1,096,000	—
2	8000	1,096,000	—
3	8000	1,096,000	—
4	8000	1,096,000	—

A rule that holds for any conversion: round once, at the end. Rounding the factor and then multiplying compounds the error through every subsequent calculation, while carrying full precision and rounding the final answer does not.

The right number of significant figures is set by your input, not by the converter. If you measured kilobytes to three significant figures, the answer in bits is only good to three — writing more digits claims precision the measurement never had.