This is a core memory module, unflown, from a Launch Vehicle Digital Computer, part of the guidance system for the Saturn V rocket. The computer was mounted on the inside of the Saturn V instrument unit (IU), above the Third Stage and below the payload. It processed information from the IU's Inertial Measurement Unit (IMU) to give commands to keep the rocket on a desired course. The memory module consisted of small doughnut-shaped "cores" of magnetic material. The magnetism of the cores indicated the storage of the binary digits one or zero. The module, along with the Launch Vehicle Digital Comptuer in which it was installed, was built by the IBM Corporation.
NASA tranferred this to the Museum in 2011.
This object is not on display at the National Air and Space Museum. It is either on loan or in storage.