Mantissa alignment with rounding

A method of computing, comprising:

• for a plurality of binary numbers, each having a respective mantissa, sign associated with the mantissa, and exponent, providing in a memory device the mantissas;
• modifying at least one of the mantissas provided in the memory device to obtain a plurality of respective modified mantissas so that the exponents of the plurality of binary numbers are the same, each of the modified mantissas having a most significant portion of a predetermined number of most bits, and a remainder portion having a most significant bit;
• combining of the most significant portions of the plurality of modified mantissas;
• modifying the combination of the most significant portions of the plurality of modified mantissas at least in part according to at least one of the remainder portions to generate a truncated mantissa;
• and
• storing the modified combination in a memory device.

A computing device, comprising:

• one or more first digital circuits, configured to receive a plurality of digital input signals indicative of respective input digital numbers of a base, each of the one or more first digital circuits being configured to receive a respective one or more of the digital input signals and modify each of the one or more of the digital input signals to generate a respective output signal indicative of an output digital number that is the input digital number times an integer power of the base;
• one or more second digital circuits configured to round a most significant portion of a predetermined bits of each output digital number from the one or more first digital circuits depending at least in part on a remainder portion of the output digital number to generate an output signal indicative of the rounded most significant portion without the respective remainder portion;
• and
• an accumulator configured to combine the output signals of the one or more second digital circuits.