The deployment of Edge AI requires energy-efficient hardware with a minimal memory footprint to achieve optimal performance. One approach to meet this challenge is the use of Binary Neural Networks (BNNs) based on non-volatile inmemory computing (IMC). In recent years, elegant ReRAM-based IMC solutions for BNNs have been developed, but they do not extend to the first layer of a BNN, which typically requires non-binary activations. In this paper, we propose a modified first layer architecture for BNNs that uses k-bit input images broken down into k binary input images with associated fully binary convolution layers and an accumulation layer with fixed weights of 2 −1 , ..., 2 −k. To further increase energy efficiency, we also propose reducing the number of operations by truncating 8-bit RGB pixel code to the 4 most significant bits (MSB). Our proposed architecture only reduces network accuracy by 0.28% on the CIFAR-10 task compared to a BNN baseline. Additionally, we propose a cost-effective solution to implement the weighted accumulation using successive charge sharing operations on an existing ReRAM-based IMC solution. This solution is validated through functional electrical simulations.