Methods, apparatus, systems and articles of manufacture to perform dot product calculations using sparse vectors are disclosed. An example dot product calculator includes a first logic AND gate to perform a first logic AND operation with a first input vector and a second input vector, the first logic AND gate to output a control vector; a second logic AND gate to perform a second logic AND operation with a difference vector and an inverse of the control vector, the second logic AND gate to output a mask vector; a third logic AND gate to output a first vector; a first counter to generate a first ones count based on a first total number of ones of the first vector; a fourth logic AND gate to output a second vector; a second counter to generate a second ones count; and a multiplier to generate a product.