State any one application each of half adder and full adder.

Half adder: used where only two bits (with no carry-in) need to be added, e.g. for adding the least significant bits of two binary numbers. Full adder: used to add three bits at a time (two operand bits plus a carry-in from a previous stage), so full adders are cascaded to build a multi-bit parallel binary adder / arithmetic circuit that correctly propagates the carry.