Bit to kB Converter

Bit (b) is the smallest unit of digital information. Since it is the base unit, its value in bits is simply:

$1\,\mathrm{b} = 1\,\mathrm{bit}$

The Kilobyte is a decimal unit. It is defined as 1000^1 bytes, which equals 1000 bytes. Since 1 Byte = 8 bits, multiply the number of Bytes by 8 to express the value in bits.

$1\,\mathrm{kB} = 1,000^{1} \,\mathrm{B} \times 8\, = 8,000\,\mathrm{bit}$

One Bit is equal to 1 bits, while one Kilobyte equals 8000 bits. The conversion factor is obtained by dividing the value of 1 source unit (in bits) by the value of 1 target unit (in bits).

$\dfrac{ 1\,\mathrm{b} }{ 1\,\mathrm{kB} } = \dfrac{ 1\,\mathrm{bit} }{ 8,000\,\mathrm{bit} } = \dfrac{ 1 }{ 8,000 }$

The exact factor is 1/8000. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 1 }{ 8,000 } \approx 0.000125$

The conversion factor from Bit (b) to Kilobyte (kB) is 0.000125. Therefore, any value in Bit can be converted to Kilobyte by multiplying it by this factor.

$\boxed{ x\,\mathrm{b} = x\times 0.000125\,\mathrm{kB} }$

Multiply the number of Bits by 0.000125 to obtain the equivalent value in Kilobytes.