Convolutional neural networks (CNN) are the current stateof-the-art for many computer vision tasks. CNNs outperform older methods in accuracy, but require vast amounts of computation and memory. As a result, existing CNN applications are typically run on clusters of CPUs or GPUs. Studies into the FPGA acceleration of CNN workloads has achieved reductions in power and energy consumption. However, large GPUs outperform modern FPGAs in throughput, and the existence of compatible deep learning frameworks give GPUs a significant advantage in programmability. Recent research in machine learning demonstrates the potential of very low precision CNNs -- i.e., CNNs with binarized weights and activations. Such binarized neural networks (BNNs) appear well suited for FPGA implementation, as their dominant computations are bitwise logic operations and their memory requirements are reduced. A combination of low-precision networks and high-level design methodology may help address the performance and productivity gap between FPGAs and GPUs. In this paper, we present the design of a BNN accelerator that is synthesized from C++ to FPGA-targeted Verilog. The accelerator outperforms existing FPGA-based CNN accelerators in GOPS as well as energy and resource efficiency.