Conventional MR imaging uses linear B0 gradients for spatial encoding, which have high cost and bulk, and lead to patient discomfort via noise and PNS. We introduce MR Barcoding as a silent, low-profile, and low-cost replacement for B0 gradients. The technique is based on non-linear RF magnitude gradients synthesized by an array of conventional transmit coils, combined with B1+-selective Hadamard encoding pulses. A proof-of-principle simulation shows that a 64x64 image could be reconstructed using an MRF model and a sub-30s scan duration. Experimental results at 47.5 mT validate the encoding capabilities of the B1+-selective Hadamard encoding pulses.