Introduction to Information Technology · Unit 5 · 6 hrs
Data Representation
Exam-focused notes for Data Representation (Introduction to Information Technology, CSC114): what the TU syllabus asks and how it has actually been tested, with 8 solved past questions from this unit.
What this unit covers
- Introduction
- Number System
- Conversion from Decimal to Binary, Octal, Hexadecimal
- Conversion of Binary, Octal, Hexadecimal to Decimal
- Conversion of Binary to Octal, Hexadecimal
- Conversion of Octal, Hexadecimal to Binary
- Binary Arithmetic
- Signed and Unsigned Numbers
- Binary Data Representation
- Binary Coding Schemes
- Logic Gates
Conversion from Decimal to Binary, Octal, Hexadecimal
What is Unicode? Convert 0.865 from Base 10 to Base 16. [5]
--- Unicode is a universal character encoding standard that assigns a unique number, called a code point, to every character, symbol, and script used in the writing systems of the world. Key points: - Developed to overcome the limits of older schemes like A...
Full solved answer →What is ASCII? Convert 0.2345 from Base 10 to Base 2. [5]
- Number to convert: $0.2345$ (Base 10) - Target base: Base 2 - Concept asked: ASCII --- ASCII stands for American Standard Code for Information Interchange. - It is a character encoding standard that assigns a unique numeric code to each character so that ...
Full solved answer →Define decimal to binary conversion. Convert decimal 12.15 to binary. [5]
Decimal to binary conversion is the process of representing a number given in the decimal (base-10) system, which uses digits 0 through 9, into its equivalent form in the binary (base-2) system, which uses only the digits 0 and 1. A decimal number having bo...
Full solved answer →Convert $(10.4)_{10}$ to binary. Add $(10111)_2$ with $(01111)_2$. [5]
- Decimal number to convert: $(10.4){10}$ - Binary numbers to add: $(10111)2$ and $(01111)2$ --- Divide by 2 repeatedly: Division Quotient Remainder ------------------------------- 10 ÷ 2 5 0 5 ÷ 2 2 1 2 ÷ 2 1 0 1 ÷ 2 0 1 Reading bottom to top: $(10){10} = ...
Full solved answer →Binary Arithmetic
How binary addition is done? Show binary addition of (11001) with (11011). [5]
- First number: $A = 110012$ - Second number: $B = 110112$ - Operation: binary addition $A + B$ Binary addition works bit by bit from the least significant bit (rightmost), following these rules: A B Sum Carry ------------------ 0 0 0 0 0 1 1 0 1 0 1 0 1 1 ...
Full solved answer →Conversion of Binary, Octal, Hexadecimal to Decimal
Convert (110101.101) binary to decimal. [5]
- Binary number: $110101.101$ - Integer part: $110101$ - Fractional part: $101$ Assign powers of 2 by position (integer part starts at $2^0$ going left; fractional part starts at $2^{-1}$ going right). Digit 1 1 0 1 0 1 . 1 0 1 -----------------------------...
Full solved answer →Signed and Unsigned Numbers
Discuss the concept behind the fixed point number representation. What can be the fixed point representation of a signed number 8? Convert (14.14) decimal into binary and octal.[10]
- Concept required: fixed point number representation - Signed number to represent: 8 - Number to convert: $(14.14){10}$ into binary and octal --- Fixed point representation is a scheme for storing real numbers in which the position of the radix (binary) po...
Full solved answer →Discuss the concept behind the fixed point number representation. What can be the fixed point representation of a signed number 8? Convert (14.14) decimal into binary and octal.[10]
- Signed number to represent: $8$ (i.e. $+8$) - Decimal number to convert: $(14.14){10}$ - Target bases: binary and octal --- Fixed point representation is a scheme for storing real numbers where the radix (binary) point is fixed at a predetermined position...
Full solved answer →Make Unit 5 stick
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