The ideal Heat Integrated Distillation Column (HIDiC) has no reboiler and no condenser, and then it does not need to heat to vaporize at the reboiler. Therefore, HIDiC is expected to save energy to operate it comparing with conventional columns, but some energy to raise the pressure of the enriching section is necessary to make possible transfer of heat from the enriching section to the stripping section. In this report, it is shown by thermodynamical consideration that the ideal HIDiC has some possibility to reduce the exergy loss in the operation comparing with conventional column. This consideration was done under the simplification of constant relative volatility, latent heat, specific heat, and no pressure drop through the column.