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Digital Logic Design 503220-3 Chapter 1: Number Systems

18 Questions

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Digital Logic Design 503220-3 Chapter 1: Number Systems

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Questions and Answers

What is the weight of the rightmost digit in a binary number?

$2^{-1}$

$2^1$

$2^{-2}$

$2^0$ (correct)

How many bits are in a byte?

8 (correct)

What is the value of the binary number 101.01 in decimal?

5.25

6.00

5.50

5.75 (correct)

What is the value of the octal number 7562 in decimal?

5210 Signup and view all the answers

How many digits are there in the hexadecimal number system?

16 Signup and view all the answers

How can octal numbers be converted to binary?

By grouping consecutive binary digits into groups of three Signup and view all the answers

What is the radix of decimal numbers?

Ten Signup and view all the answers

Which weighted number system starts from 100 = 1 and increases from right to left?

Decimal Signup and view all the answers

What is the base or radix of the binary number system?

Two Signup and view all the answers

Which number system uses symbols 0-7?

Octal Signup and view all the answers

What type of code is ASCII?

Binary code Signup and view all the answers

What is the weight assigned to the rightmost digit in a decimal integer number?

$10^0$ Signup and view all the answers

What type of code is ASCII?

Alphanumeric code Signup and view all the answers

How many characters were encoded in the original ASCII using 7 bits?

128 characters Signup and view all the answers

When was extended ASCII introduced and what was its character set size?

In 1981, with a character set of 256 Signup and view all the answers

What is the purpose of the first 32 characters in ASCII?

Represent control characters Signup and view all the answers

What did IBM introduce in 1981 related to ASCII?

Extended ASCII with a character set of 256 Signup and view all the answers

What is the purpose of extended ASCII?

To increase the character set to handle more characters Signup and view all the answers

Study Notes

Binary Number System

The rightmost digit in a binary number has a weight of 1.
A byte consists of 8 bits.
The decimal equivalent of the binary number 101.01 is 5.25.

Octal Number System

The decimal value of the octal number 7562 is 3962.
Octal numbers utilize digits from 0 to 7.
Octal to binary conversion can be achieved by replacing each octal digit with its corresponding 3-bit binary representation.

Number System Basics

The radix of decimal numbers is 10.
The binary number system has a base of 2.
The weighted number system that starts from 100 = 1 and increases from right to left is known as binary.

ASCII Encoding

ASCII is a character encoding standard that uses 7 bits for encoding.
The original ASCII encoded 128 characters.
Extended ASCII was introduced to accommodate 256 characters (including the original 128) to support additional symbols and characters.
The first 32 characters in ASCII are non-printable control characters used for text formatting and control tasks.
In 1981, IBM introduced PCs using ASCII, which helped standardize character encoding across computers.
The purpose of extended ASCII is to provide additional characters for various languages and graphical representations.

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Description

Learn about number systems including Decimal and Binary Numbers, and Arithmetic Operations. Explore the fundamentals of number representations in digital logic design.