Abstract: A modular multiplying assembly and a multiply module for use in the multiplying assembly implemented by hard-wired circuits are disclosed. Each module calculates multiplication for operands of a decimal single digit and can receive a carry or carries from adjacent module or modules. Each of the modules is implemented by a memory member or a set of logic gates such as a programmable logic array. In case of module implemented by a set of logic gates, an extremely high-speed calculation is obtained.

Abstract: A circuit for discriminating whether or not a given point exists within a predetermined linear area, comprises first and second registers for storing first and second boundary values defining the predetermined linear area. A first detection circuit receives the first boundary value and a value of the given point, and a second detection circuit receives the second boundary value and the value of the given point. Each of the first and second detection circuits generating a first signal indicating that the boundary value is not greater than the value of the given point, a second signal indicating that the boundary value is equal to the value of the given point, and a third signal indicating that the boundary value is greater than the value of the given point.