Abstract: A digital multiplication apparatus and method adopting redundant binary arithmetic is provided. In this digital multiplication apparatus, when two numbers X and Y are multiplied using a radix-2k number system, a data converter data-converts the m-bit number Y into m/k digit data D (=Dm/k−1Dm/k−2 . . . Di . . . DiDo). A partial product calculator converts each of the digits Di of the number Y converted by the data converter into a combination of the coefficients of a fundamental multiple, multiplies the combination by the number X, and outputs the product as a redundant binary partial product. A redundant binary adder sums the partial products for all of the digits of the converted number Y. A redundant binary (RB)-normal binary (NB) converter converts the redundant binary sum into a normal binary number and outputs the converted normal binary sum as the product of the two numbers. Therefore, even when the radix extends, the burden upon hardware can be minimized.