This brief proposes a low-power LDPC convolutional code (LDPC-CC) decoder that is fully compatible with the IEEE 1901 standard. The proposed architecture merges multiple memory banks into one to make it consume much less power than the conventional architecture. Memory operations conducted by all the unit processors are synchronized in the proposed decoder to merge the memory and avoid any possible data hazard. The data hazard happens when a unit processor tries to read a log-likelihood ratio before a different processor updates it, degrading the error-correcting performance. Memory-access patterns appearing in a memory-based LDPC-CC decoder are formulated to determine the size of a sliding window adequate for decoding. Experimental results show that the decoding architecture employing the merged memory and the proper window size reduces the power consumption by up to 40% compared to the conventional architecture that employs multiple memory banks.