Stochastic rounding of numerical values

A method, comprising:

• receiving an input value represented by a first number of bits;
• identifying a portion of the first number of bits of the input value as a rounding value represented by a second number of bits;
• extracting a second value from the input value;
• aligning the rounding value with a rounding position within the second value, wherein the rounding position corresponds to a least significant bit of an output value represented by a third number of bits;
• adding the aligned rounding value and the second value to produce a sum;
• and
• truncating a fourth number of bits from the sum to produce the output value.

A non-transitory, computer-readable storage medium storing instructions that, when executed by a processing unit, cause the processing unit to:

• receive an input value represented by a first number of bits;
• identify a portion of the first number of bits of the input value as a rounding value represented by a second number of bits;
• extract a second value from the input value;
• align the rounding value with a rounding position within the second value, wherein the rounding position corresponds to a least significant bit of an output value represented by a third number of bits;
• add the aligned rounding value and the second value to produce a sum;
• and
• truncate a fourth number of bits from the sum to produce the output value.