Byte to Nibble Converter

Byte is a basic unit. Its value is defined as 8 bits.

$1\,\mathrm{B} = 8\,\mathrm{bit}$

Nibble is a basic unit. Its value is defined as 4 bits.

$1\,\mathrm{N} = 4\,\mathrm{bit}$

One Byte is equal to 8 bits, while one Nibble equals 4 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).

$\dfrac{ 1\,\mathrm{B} }{ 1\,\mathrm{N} } = \dfrac{ 8\,\mathrm{bit} }{ 4\,\mathrm{bit} } = \dfrac{ 8 }{ 4 }$

The fraction can be simplified by dividing both the numerator and denominator by 4, giving the exact conversion factor.

$\dfrac{ 8 }{ 4 } = \dfrac{ 8\div 4 }{ 4\div 4 } = \dfrac{ 2 }{ 1 }$

The exact factor is 2/1. The decimal result is shown to 30 places or fewer when the division terminates earlier.

$\dfrac{ 2 }{ 1 } \approx 2$

The conversion factor from Byte (B) to Nibble is 2. Therefore, any value in Byte can be converted to Nibble by multiplying it by this factor.

$\boxed{ x\,\mathrm{B} = x\times 2\,\mathrm{N} }$

Multiply the number of Bytes by 2 to obtain the equivalent value in Nibbles.