Abstract: An apparatus includes a plurality of AND gates each to receive as input a bit of a first binary vector and a corresponding bit of a second binary vector, where the length of the first binary vector is not greater than the length of the second binary vector. The apparatus also includes a multiple input XOR gate to calculate in a single cycle a scalar product of the first binary vector and the second binary vector by performing an exclusive OR operation on the output of each of the AND gates.

Abstract: An apparatus which generates even addressed words and odd addressed words in a memory. The apparatus consists of a port adapted for receiving an address, one or more even units in operative communication with the port and one or more odd units in operative communication with the port. The even units output an even address and the odd units output and odd address. If the input address is even the even address is equal to the input address and if the input address is odd the even address is spaced from the input address by N addresses, where N is an odd integer. If the input address is odd, the odd address is equal to the input address and if the input address is even, the odd address is spaced from the input address by N addresses.