Nibble to Byte Converter

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

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

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

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

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

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

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

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

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

$\dfrac{ 1 }{ 2 } \approx 0.5$

The conversion factor from Nibble to Byte (B) is 0.5. Therefore, any value in Nibble can be converted to Byte by multiplying it by this factor.

$\boxed{ x\,\mathrm{N} = x\times 0.5\,\mathrm{B} }$

Multiply the number of Nibbles by 0.5 to obtain the equivalent value in Bytes.