The ARMv8 architecture introduced AArch64, a 64-bit execution mode with a new instruction set, while retaining binary compatibility with previous versions of the ARM architecture through AArch32, a 32-bit execution mode. Most hardware implementations of ARMv8 processors support both AArch32 and AArch64, which comes at a cost in hardware complexity.We present MAMBO-X64, a dynamic binary translator for Linux which executes 32-bit ARM binaries using only the AArch64 instruction set. We have evaluated the performance of MAMBO-X64 on three existing ARMv8 processors which support both AArch32 and AArch64 instruction sets. The performance was measured by comparing the running time of 32-bit benchmarks running under MAMBO-X64 with the same benchmark running natively. On SPEC CPU2006, we achieve a geometric mean overhead of less than 7.5 % on in-order Cortex-A53 processors and a performance improvement of 1 % on out-of-order X-Gene 1 processors.MAMBO-X64 achieves such low overhead by novel optimizations to map AArch32 floating-point registers to AArch64 registers dynamically, handle overflowing address calculations efficiently, generate traces that harness hardware return address prediction, and handle operating system signals accurately.