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Adders. Encyclopedia of radio electronics and electrical engineering

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Encyclopedia of radio electronics and electrical engineering / Beginner radio amateur

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The adder is designed for arithmetic addition of two numbers. It follows from the principle of addition of multi-digit binary numbers that each i-th digit contains the sum of three numbers modulo two (the terms Ai, Ai and the carry coming from the least significant bit of Pi), and a carry signal is generated to the high-order bit Рi + 1 For example, let's analyze the truth table of a single-bit adder and write logical expressions for the output values

S=A(-B)(-P0)\/(-A)B(-P0)\/(-A)(-B)P0\/ABP0

Pi + 1=AB(-P0)\/A(-B)(-P0)\/(-A)BP0\/ABP

Adders
Fig. 1

Based on these functions, you can build an adder on the elements AND and OR, fig. 1a. The symbolic image of a single-digit adder is shown in fig. 1b. To add two multi-bit binary numbers, multi-bit adders are used, which in their simplest form are a serial connection of single-bit adders (Fig. 1, in.

Author: -=GiG=-, gig@sibmail; Publication: cxem.net

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