The document discusses different types of binary adders and arithmetic circuits. A binary adder uses full adder circuits connected in cascade to generate the sum of two binary numbers of any length. A binary adder-subtractor can perform both addition and subtraction using an exclusive-OR gate with each full adder and a mode input to control the operation. A binary incrementer independently increments a number using a combinational circuit. An arithmetic circuit uses a parallel adder as its basic component and multiplexers to choose different arithmetic operations like addition, subtraction, and increment on its inputs and output.