Methods, apparatus, systems and articles of manufacture to perform dot product calculations using sparse vectors are disclosed. An example dot product calculator includes a counter to determine a trailing binary count of a control vector, the control vector corresponding to a first result of a first logic AND operation on a first bitmap of a first sparse vector and a second bitmap of a second sparse vector. The example dot product calculator further includes a mask generator to generate a mask vector based on the trailing binary count. The example dot product calculator further includes an interface to access a first value of the first sparse vector based on a second result of a second logic AND operation on the first bitmap and the mask vector and access a second value of the second sparse vector based on a third result of a third logic AND operation on the second bitmap and the mask vector. The example dot product calculator further includes a multiplier to multiply the first value with the second value to generate a product.