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Perform the following binary addition, subtraction and conversion to octal

13/11/2021

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​(a) Subtract 1102 from 110102                (1mk)

Picture

(b) Find the sum of binary number 101.1012 and 110.1002             (1mk)

Picture

(c) Convert binary number 11010110.10012 into octal number.              (1mk)

Picture

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Explain three functions of an information system in an organisation.

15/1/2021

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Explain three functions of an information system in an organisation.

​(b) Explain two benefits that a company would gain from using batch processing method for data processing 
(c) (i) Convert the number 11101.1 12 to its decimal equivalent.
(ii) Perform the following binary operation 110112 + 1012
RESPONSES
a) Functions of information system in an organization.
  •  Process data in an organization according to the policies and objectives.
  •  Decision making by providing information that helps with strategic planning within the organization.
  •  Means of communication and flow of information to various sections of an organization / enable sharing of information.
  •  Improving quality of production, through the use of feedback mechanisms for counter checking the production with expected results.
(b)Benefits of using batch processing.
  •  Output is increased because the processor work is uninterrupted.
  •  Low cost of operation since the tasks are processed as a group.
  •  Requires little supervision since the processing runs automatically as long as the instructions is given.
  •  Less labour required since the process is automatic.
  • Efficient use of computer resources due to no idle time.
  •  Gives company opportunity to check any error before processing begins.
(c) (i) Convert the number 11101.1 12 to its decimal equivalent. (ii) Perform the following binary operation 110112 + 1012

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Explain two health issues that could arise from the use of unsuitable computer desk.

13/1/2021

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Explain two health issues that could arise from the use of unsuitable computer desk.

  • It could lead to back problems if the desk is of an unrealistic height.
  •  If it does not provide good positioning of the monitor, it could result in eye strain.
  •  Wrist problems will arise if the keyboard and mouse seating positions are bad.
  •  Injury as a result of falling computer components due to weak computer desks/ small size.
(b i)Describe two ways in which a positive number and a negative number can be represented in a computer 
  •  In binary one bit usually the most significant or leading bit is used to indicate either positive or negative,and store the unsigned binary representation of the magnitude in the remaining bits.
  •  Signed magnitude.
  •  Using the twos complement.
  •  Using the ones complement.
(ii) A particular computer stores numbers in a single 8-bit word.
Determine how the number 0.3125 base 10 would be represented. 
No.18.(a) Explain two health issues that could arise from the use of unsuitable computer desk. It could lead to back problems if the desk is of an unrealistic height. If it does not provide good positioning of the monitor, it could result in eye strain

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Convert each of the following binary numbers to decimal equivalent given that the left most digit is a sign bit:

12/1/2021

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Convert each of the following binary numbers to decimal equivalent given that the left most digit is a sign bit:

​(a) 00101101
(b) 11001001
Convert each of the following binary numbers to decimal equivalent given that the left most digit is a sign bit: (a) 00101101 (b) 11001001

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​Convert the decimal number 20.373 to its binary number system equivalent

12/1/2021

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​Convert the decimal number 20.373 to its binary number system equivalent. (3 marks)

converting 20 base 10 into binary
Converting 20 base 10 into binary
Picture
since the result was long, we just decided to truncate at 16th digit however it can exceed

0.37310 = 01011111011111002

The binary result of 20.37310 is therefore

  • 2010 = 101002 and

  • 0.37310 = 01011111011111002

Combine them all;

  • 20.37310 = 10100.01011111011111002


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In the BCD number coding scheme, letter A is represented by 110001 and letter B by 110010. Determine how the word CAB is coded in BCD.

10/1/2021

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In the BCD number coding scheme, letter A is represented by 110001 and letter B by 110010. Determine how the word CAB is coded in BCD.

​(ii) Convert the decimal number 11.125 to its binary number system equivalent. 
(iii) Perform the binary arithmetic: 111.01 + 1011.111 — 101.011 and convert the answer to decimal notation. 
(b) Explain the importance of each of the following in word processing:
(i) tab stops; 
(ii) section breaks. 
(c) State three documents that are used during mail merging in word processing.
ANSWERS
​(ii) Convert the decimal number 11.125 to its binary number system equivalent. (iii) Perform the binary arithmetic: 111.01 + 1011.111 -- 101.011 and convert the answer to decimal notation. (b) Explain the importance of each of the following in word processing: (i) tab stops; (ii) section breaks. (c) State three documents that are used during mail merging in word processing.
​(ii) Convert the decimal number 11.125 to its binary number system equivalent. (iii) Perform the binary arithmetic: 111.01 + 1011.111 -- 101.011 and convert the answer to decimal notation. (b) Explain the importance of each of the following in word processing: (i) tab stops; (ii) section breaks. (c) State three documents that are used during mail merging in word processing.
​(ii) Convert the decimal number 11.125 to its binary number system equivalent. (iii) Perform the binary arithmetic: 111.01 + 1011.111 -- 101.011 and convert the answer to decimal notation. (b) Explain the importance of each of the following in word processing: (i) tab stops; (ii) section breaks. (c) State three documents that are used during mail merging in word processing.
(b) Importance of tab stops and section break
  • (i) Tab stop: when tab stops are set, they allow aligning of text into columns;
  • (ii) Section breaks: Allows splitting of a document into different sections so that different formatting styles can be applied to the different sections.
(c) Documents used during mail merge
  •  Main document - primary/secondary/data source
  •  The address list - the intended recipients of the document.
  •  The merged document - final document ready for printing or sending.

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Describe the octal number system.

7/1/2021

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Describe the octal number system.

(a) Describe the octal number system.

(b) Convert each of the following to the number system indicated:

(i) 111.1012 to decimal;

(ii) 14.687510 to binary.

(c) Convert the number -17 10 into 8-bit:

(i) signed magnitude representation;

(ii) two’s complement.

(d) Perform the arithmetic operation

110.112 + 11.0112

RESPONSES
(a) Characteristics of octal number system.
  •  each symbol is represented by 3 bits.
  •  The number is made of 8 symbols 0. 1. 2,…….. 7;
  •  Maximum value of a single digit is 7 (one less than the value of the base);
  •  This number system uses base 8.
(b) Convert each of the following to the number system indicated: (i) 111.1012 to decimal; (ii) 14.687510 to binary. (c) Convert the number -17 10 into 8-bit: (i) signed magnitude representation; (ii) two’s complement. (d) Perform the arithmetic operation 110.112 + 11.0112
(b) Convert each of the following to the number system indicated: (i) 111.1012 to decimal; (ii) 14.687510 to binary. (c) Convert the number -17 10 into 8-bit: (i) signed magnitude representation; (ii) two’s complement. (d) Perform the arithmetic operation 110.112 + 11.0112
(b) Convert each of the following to the number system indicated: (i) 111.1012 to decimal; (ii) 14.687510 to binary. (c) Convert the number -17 10 into 8-bit: (i) signed magnitude representation; (ii) two’s complement. (d) Perform the arithmetic operation 110.112 + 11.0112

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Given the binary number 101011101111011, determine the number of: nibbles and bytes.

7/1/2021

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Given the binary number 101011101111011, determine the number of:nibbles and bytes.

  • Nibbles - 4
  • Bytes - 2
Given the binary number 101011101111011, determine the number of: nibbles and bytes.

​​Related Searches on data representation in a computer, Form 3 Level

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Explain three features of a graphical user interface as used in computers.

7/1/2021

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​A) Explain three features of a graphical user interface as used in computers. (6 marks)

  • Windows — a rectangular area on the screen where the commonly use application run.
  •  Icons — A picture or symbol which is used to represent a software application or hardware device.
  •  Menus —a list of options from which the user can choose what that they require.
  •  Pointer - a symbol such as arrow which moves around the screen as the user move the mouse.

B) ​State the function of each of the following computer keyboard keys:

​(i) Caps Lock (1 mark)
(ii) Shift (1 mark)
(iii) Home (1 mark)
(i) Function of Caps lock
- It’s a toggle key when ON, the characters typed are in uppercase when OFF, the characters typed are in lower case. 
(ii) Shift key
- Used to enable uppercase letter to be printed when alphanumeric keys are pressed. 
- Used with other keys to modify behavior/function key.
(iii) Home key
- Used to take the cursor to the beginning of the line in a word processor. 
- Evidence of movement of the cursor.

C) Using two complement notation, determine the value of the operation 2510 — 2910 (6 marks)

C) Using two complement notation, determine the value of the operation 25 -- 29 (6 marks)

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Differentiate between one’s complement and two’s complement in data representation.

6/1/2021

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Differentiate between one’s complement and two’s complement in data representation.

(a) (i) Differentiate between one’s complement and two’s complement in data representation.
 (ii) Explain the preference of binary number systems over decimal number systems in computers.
(b) (i) Using one’s complement, subtract 1000112 from 0100102
 (ii) Convert the number 21.0312510 to its binary equivalent.
(c)Perform the following binary operations. 1101 + 11011 + 101 + 11111
  • (a) (i) In one’s complement, a negative number is represented by taking all its bits in the positive number and inverting them. In two’s complement, you start with one’s complement but add I to the results.
OR
  • In two’s complement, there are no two ways of presenting a zero. In one’s complement, overflow bit is added back to the answer but ignored in two’s complement.
(ii) Binary number system over decimal
  •  it is easy to program.
  •  uses bi-state devices which can either be ON or OFF.
  •  Binary can be used to represent all types of data.
Differentiate between one’s complement and two’s complement in data representation.
Differentiate between one’s complement and two’s complement in data representation.

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Convert each of the following binary numbers to decimal equivalent given that the left most digit is a sign bit.

5/1/2021

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State the use of each of the following flowchart symbols.

(a) Convert each of the following binary numbers to decimal equivalent given that the left most digit is a sign bit.
 (î) 0 0 1 0 1 1 0 1
(ii) 1 1 0 0 1 0 0 1
(b) Convert the decimal number 0.42 to 6 bit binary notation.
(c) Using two’s complement, subtract 1110 from 810 leaving your answer in binary notation.
(d) Perform the following binary operation.
11001 + 1101-101

RESPONSES

Picture

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Describe each of the following validation checks as used in data processing

4/1/2021

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​(a) Describe each of the following validation checks as used in data processing:

(i) Preserve check

It is a measure placed used to ensure that data item is in its original status.

(ii) Data type check

It is a measure that ensures that correct data type is entered for each field.

(iii) Check digit

This is a number calculated by the computer to make sure that the other numbers in a sequence have been entered properly.

Describe each of the following validation checks as used in data processing:

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State three standard data coding schemes used in computing and electronic systems.

4/1/2021

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State three standard data coding schemes used in computing and electronic systems.

(b) Convert each of the following numbers:
(i) 110.1012 to decimal;
(ii) 12.687510 to binary;
(c) Subtract 110.012 from 11001.01012
(d) Using twos complement, perform the following binary arithmetic leaving the answer in binary notation.
11012- 1001012
(a) Binary coded Decimal (BCD) )(4 bits).
  •  American Standard Code for information interchange (ASCII).
  •  Extended BCD interchange code .(EBCDIC)
  •  Unicode.
  •  Standard BCD (6 bits)
Picture
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Using one's complement, convert the decimal number -9 into 6-bit binary number.

3/1/2021

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Using ones complement, convert the decimal number -9 into a 6-bit binary number.

​(b) (i) State three standard coding schemes used in data representation.     
(ii) In a certain coding scheme, each character occupies 7 bits. Letters of the alphabet are assigned consecutive codes. If letter N is represented by 1010010. What is the representation of letter A in this coding scheme?      
(c) Using twos complement. show how the arithmetic below would be carried out on a 8-bit computer system. 
(+54)- (+29)
Using one's complement, convert the decimal number -9 into 6-bit binary number.
​(b) (i) State three standard coding schemes used in data representation. (ii) In a certain coding scheme, each character occupies 7 bits. Letters of the alphabet are assigned consecutive codes. If letter N is represented by 1010010. What is the representation of letter A in this coding scheme? (c) Using twos complement. show how the arithmetic below would be carried out on a 8-bit computer system. (+54)- (+29)

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Perform the following binary arithmetic and give your  answers in decimal notation:

2/1/2021

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Perform the following binary arithmetic and give your answers in decimal notation:

(i)1010.101 + 11.011
 (ii)1010.011 – 11.011
(b) Covert the following numbers into their binary equivalents
 (i)0.562510
 (ii)0.312510
 (c) Using four – bit twos compliment, perform the following arithmetic
 1012- 1112
Perform the following binary arithmetic and give your answers in decimal notation:
Perform the following binary arithmetic and give your answers in decimal notation:

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Subtract 0111base2 from 1001base2

2/1/2021

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(a)        Subtract 01112 from 10012   (2 mks)

                        00102

(b)        Using two’s compliment, subtract 7 from 4 and give the answer in decimal notation     (4mks)

            7 = 1112

            4 = 1002

            -4 in two’s compliment is 100

              111

               100

        + (1)011

The resulting answer is 011 since the overflow is ignored. In decimal notation this is 310

(c)        Convert

(i)  91B16 to octal

Picture

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Arrange the following data units in ascending order of size

2/1/2021

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​Arrange the following data units in ascending order of size (2mks)

BYTE, FILE, BIT, NIBBLE
BIT, NIBBLE, BYTE, FILE

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Explain Binary Coded Decimal code of data representation

2/1/2021

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​(a) explain Binary Coded Decimal code of data representation (1mk)

  • BCD is a 4-bit code used for coding numeric values only. Unlike pure binary each number or digit is assigned a specific binary code to represent it.

​(b) Write the number 45110 in BCD notation (1mk)

  • 100101001

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Explain why computers use binary numbers in data representation

1/1/2021

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​Explain why computers use binary numbers in data representation (2mks)

  • The computers system is made up of logic that works only with two states “ON’ and ‘Off’ for computers to process information, the information itself must therefore be represented in two states- hence of binary numbers (0 and 1).
binary code

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Describe two ways ¡n which a computer can represent a positive number and a negative number.

31/12/2020

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Describe two ways in which a computer can represent a positive number and a negative number.

(b) A particular computer stores numbers in a single 8-bit word. How would it represent 0.312510 ?
 (c) What is the decimal equivalent of the number 1.01112?
 (d) Perform the decimal subtraction 1410- 610 using
 (i) regular binary;
(ii) one’s complement.
  • In binary one bit usually the most significant or leading bit is used to indicate either positive or negative, and store the unsigned binary representation of the magnitude in the remaining bits.
  • Signed magnitude.
  • Using the twos complement.
  • Using the ones complement. 
Describe two ways ¡n which a computer can represent a positive number and a negative number.
Describe two ways ¡n which a computer can represent a positive number and a negative number.

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Explain the term  nibbles as used in data representation  in  computers

31/12/2020

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​(a) Explain the term  nibbles as used in data representation  in  computers

​A nibble refers to a half a byte or 4  bits ( A byte is equivalent to 8 bits)

​(b) Perform  the following binary arithmetic giving the answers in decimal notation.

binary arithmetic

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Write –1 in twos compliment notation in byte form

30/12/2020

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Write –1 in twos compliment notation in byte form (4mks)

110 = 12 in byte form it becomes 000000012

One’s complement is 111111102

Two’s complement is 11111112


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Using six bits, find the two’s complement of -23 base 10.

29/12/2020

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Using six bits, find the two’s complement of -2310
Using six bits, find the two’s complement of -23 base 10.

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State three data representation codes used in computers

29/12/2020

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State three data representation codes used in computers

ASCII

American Standard Coded for information interchange

BCD

Binary coded Decimal

EBCDIC

Extended Binary Coded Decimal interchange Code

processor

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Write the abbreviations BCD, ASCII AND EBCDIC in full

24/12/2020

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​Write the following abbreviations in full. (3mks)
  1. BCD
  2. ASCII
  3. EBCDIC
Write the abbreviations BCD, ASCII AND EBCDIC in full
IBM 595 MINI COMPUTER

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