A compute block can perform hybrid multiply-accumulate (MAC) operations. The compute block may include a weight compressing module and a processing element (PE) array. The weight compression module may select a first group of one or more weights and a second group of one or more weights from a weight tensor of a DNN (deep neural network) layer. A weight in the first group is quantized to a power of two value. A weight in the second group is quantized to an integer. The integer and the exponent of the power of two value may be stored in a memory in lieu of the original values of the weights. A PE in the PE array includes a shifter configured to shift an activation of the layer by the exponent of the power of two value and a multiplier configured to multiplying the integer with another activation of the layer.