Conventional-silicon-transistor-based Volatile Memory (VM) synapse has been proposed as an alternative to Non Volatile Memory (NVM) synapse in crossbar-array-based neuromorphic/ in-memory-computing systems. Here, through SPICE simulations, we have designed an analog-digital-hybrid Volatile Memory Synapse Cell (VMSC) for such a crossbar array of VM synapses. In our VMSC, the transistor synapse stores nearly analog values of weight. But the other transistors, which carry out the weight update for the transistor synapse, are designed following the principle of static CMOS logic (digital), making our design energy-efficient. Through system-level study, we report classification accuracy, speed, and energy consumption for onchip learning on the VMSC-based crossbar designed here, using popular machine learning data sets. We show that despite a low value of capacitance of our MOSFET synapses (low areafootprint hence), the weights are retained in them long enough for our VMSC-based crossbar to exhibit comparable accuracy as a NVM-synapse-based crossbar.