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Chapter 1: Problem 14

In what numbering system are all numeric values written as sequences of 0 s and 1 s?

Short Answer

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Question: Identify the numbering system in which all numeric values are written as sequences of 0s and 1s, and explain its relevance in digital electronics. Answer: The numbering system that uses sequences of 0s and 1s is the Binary Number System, also known as Base-2 Number System. It is relevant in digital electronics because it can easily represent the two states of a digital circuit: on(1) and off(0), making it an efficient way to communicate and store information in computers and other digital systems.

Step by step solution

01

Identify the numbering system

The numbering system where all numeric values are written as sequences of 0s and 1s is the Binary Number System, also known as Base-2 Number System.
02

Explanation of the Binary Number System

The Binary Number System has only two digits: 0 and 1. It is used in computers and digital electronics because it can easily represent the two states of a digital circuit: on(1) and off(0). In this system, the place values are based on the powers of 2, unlike the Decimal Number System (Base-10), which uses powers of 10.

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