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# Binary Arithmetic Subtraction Using Full Adder Without Carry Input

IP.com Disclosure Number: IPCOM000061091D
Original Publication Date: 1986-Jun-01
Included in the Prior Art Database: 2005-Mar-09
Document File: 2 page(s) / 29K

IBM

West, RM: AUTHOR

## Abstract

A simple binary arithmetic subtractor logic circuit includes a full adder without carry input, at least one of whose inputs for subtraction is inverted and whose output for subtraction is also inverted. The simple circuit (Fig. 1) comprises a first inverter 1 whose input is a multi-bit binary number X in twos complement form. The inverter 1 inverts the bits of the number X to provide one input to a full adder 2 whose other input is a multi-bit binary number Y in twos complement form. The output of the adder 2 is to a second inverter 3 which inverts the bits of the number output by the adder 2 to give the output X-Y. In twos complement form, binary numbers can be positive or negative, the most significant bit being used as a sign bit.

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Binary Arithmetic Subtraction Using Full Adder Without Carry Input

A simple binary arithmetic subtractor logic circuit includes a full adder without carry input, at least one of whose inputs for subtraction is inverted and whose output for subtraction is also inverted. The simple circuit (Fig. 1) comprises a first inverter 1 whose input is a multi-bit binary number X in twos complement form. The inverter 1 inverts the bits of the number X to provide one input to a full adder 2 whose other input is a multi-bit binary number Y in twos complement form. The output of the adder 2 is to a second inverter 3 which inverts the bits of the number output by the adder 2 to give the output X-Y. In twos complement form, binary numbers can be positive or negative, the most significant bit being used as a sign bit. Inversion of the bits of a positive number results in a negative number which requires the addition of one to become the negative of the positive number, and vice versa. Thus after inversion of X by the first inverter 1, the adder input is one less than - X. Then the adder output is Y-X-1, and this is inverted in the second inverter 3 to give the output -Y+X1-1 = X-Y. If the inverter circuits 1 and 3 are replaced by exclusive-OR circuits which invert for subtraction and are non-inverting for addition, the circuit may be used for subtraction or addition. By placing exclusive-OR circuits in both inputs to the adder (Fig. 2) further functions are possible. In this extend...