Quantum-dot cellular automata (QCA) is evolving as an outshining nanotechnology. It is being efficiently used for designing of digital circuits, and devices. Incorporation of logical injectivity function in QCA enhances the energy efficiency by obviating the bit erasure energy loss. This paper presents the design implementations of the proposed exclusive-OR (EXOR) gate, 2-input, 3-input, and 4-input binary to gray (B2G) code converters in QCA. The proposed designs outperform the existing designs in factors of complexity, area, latency, and power dissipation. The cells count for the proposed EXOR, 2-input, 3-input, and 4-input B2G converters are 11, 15, 27, and 39, respectively. The delay values are 0.25 for all the proposed designs, without any crossover. Copyright (c) 2022 Elsevier Ltd. All rights reserved. Selection and peer-review under responsibility of the scientific committee of the 4th International Conference on Advances in Mechanical Engineering and Nanotechnology.