Information Representation in Computers

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Questions and Answers

The purpose of storing information in binary arrangement is to make it difficult to retrieve when needed.

False (B)

In the context of a file organizer analogy, each record being first put in an envelope and tagged represents how data is organized in a computer's memory.

True (A)

RAM is considered as the permanent storage where information is replicated from.

False (B)

The Decimal Number System comprises of 8 unit digits.

<p>False (B)</p> Signup and view all the answers

Binary is an example of a base-8 number system.

<p>False (B)</p> Signup and view all the answers

In the decimal number system, the digit '9' represents the highest value.

<p>True (A)</p> Signup and view all the answers

Octal number system uses digits from 0 to 7.

<p>True (A)</p> Signup and view all the answers

Binary representation of (1011) is equivalent to the decimal value 13.

<p>False (B)</p> Signup and view all the answers

What is the decimal value of the binary number (101101)?

<p>53 (A)</p> Signup and view all the answers

When converting the binary number (110011)₂ to decimal, what is the value obtained?

<p>54 (B)</p> Signup and view all the answers

If a binary number has a value of (111111), what is its equivalent in decimal?

<p>63 (C)</p> Signup and view all the answers

What is the binary representation of the decimal number 25?

<p>(11001) (B)</p> Signup and view all the answers

If a decimal number is represented as (1010)₂ in binary, what is its value?

<p>10 (A)</p> Signup and view all the answers

Given the binary number (10000)₂, what is its decimal equivalent?

<p>16 (B)</p> Signup and view all the answers

What is the binary representation of the decimal number 42?

<p>(10100) (C)</p> Signup and view all the answers

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Study Notes

Information Representation in Computers

  • Information is stored in computers in the form of binary digits, which are represented as '0's and '1's.
  • The process of storing information is similar to a file organizer, where records are kept in envelopes, tagged, and organized in a particular order before being stored in drawers.

Number System

  • A number system is a way of representing information.
  • There are different types of number systems, including decimal, binary, and octal.

Decimal Number System

  • The decimal number system is based on 10 unit digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  • The decimal number system is used in everyday economics and business, especially in the form of currency.
  • Examples of decimal numbers include 29, 234, and 101.

Binary Number System

  • Computers understand instructions in the form of binary numbers only.
  • Binary numbers are represented using two digits: 0 and 1.

Number System Conversion

  • Binary numbers can be converted to decimal numbers and vice versa.

Conversion of Binary Number to Decimal Number

  • To convert a binary number to a decimal number, put the respective power of 2 on the binary digits from right to left, starting from 0.
  • Examples of binary to decimal number conversion include:
    • (1001)₂ = 1x2³+0x2²+0x2¹+1x2° = (9) 10
    • (111001)₂ = 1x25+1x2⁴+1x2³ +0x2²+0x2¹+1x2 = (57) 10

Conversion of Decimal Number to Binary Number

  • To convert a decimal number to a binary number, divide the number by 2, noting down the quotient and remainder, and repeat the process until the quotient is no longer divisible by 2.
  • Examples of decimal to binary number conversion include:
    • (17) 10 = (10001) 2
    • (57) 10 = (111001) 2

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