Questions and Answers
The purpose of storing information in binary arrangement is to make it difficult to retrieve when needed.
False
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
RAM is considered as the permanent storage where information is replicated from.
False
The Decimal Number System comprises of 8 unit digits.
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Binary is an example of a base-8 number system.
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In the decimal number system, the digit '9' represents the highest value.
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Octal number system uses digits from 0 to 7.
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Binary representation of (1011) is equivalent to the decimal value 13.
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What is the decimal value of the binary number (101101)?
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When converting the binary number (110011)₂ to decimal, what is the value obtained?
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If a binary number has a value of (111111), what is its equivalent in decimal?
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What is the binary representation of the decimal number 25?
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If a decimal number is represented as (1010)₂ in binary, what is its value?
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Given the binary number (10000)₂, what is its decimal equivalent?
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What is the binary representation of the decimal number 42?
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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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