Number systems and conversions Theory part 2
Concept ID: XI_U1_NUMBER_SYSTEMS_CONVERSION.
Primary Sub-subtopic: Number systems and conversions.
Question-bank grouping: Number Systems and Encoding.
Use this lecture for theory, examples, misconceptions, and short PYQ checks mapped to this concept ID.
Key things we'll cover
Number systems and conversions
PYQ references used by both prompts5 included7 excluded
Flagged questions are excluded from both Study Notes and PPT references until corrected in Paper Analyzer.
Excluded
ID 1155 · 2025 · 1 mark(s)
Python uses a/an ______________ to convert source code to object code.
a. Interpreter
b. Compiler
c. Combination of Interpreter and Compiler
d. Special virtual engine
Number Systems and Encoding → Number systems and conversions, Language translators and programming tools
Awaiting categorisation review
Excluded
ID 1207 · 2025 · 2 mark(s)
Assertion(A): Not all types of software are system software.
Reason: Application software are designed to carry out operations for a specific application
ii. Assertion: The decimal number system has base 10.
Reason: The decimal number system is composed of 10 unique symbols.
Number Systems and Encoding → Number systems and conversions, Software categories and utilities
Awaiting categorisation review
Included
ID 1270 · 2025 · 2 mark(s)
Convert the following:
(i) (101.11)₂ = (………….)₁₀
(ii) (705.25)₈ = (…………..)₁₆
Number Systems and Encoding → Number systems and conversions
Included
ID 1571 · 2025 · 2 mark(s)
Convert the decimal number 25 to its binary equivalent.
Number Systems and Encoding → Number systems and conversions
Included
ID 1613 · 2025 · 2 mark(s)
Convert the following:
a) (110101.110)₂=(?)₈
b) (BCA2)₁₆ = (?)₂
Number Systems and Encoding → Number systems and conversions
Excluded
ID 1098 · 2025 · 3 mark(s)
Fill in the blanks:
(a) ______ number system uses digits 0 and 1 only.
(b) ______ memory is volatile in nature.
(c) A ______ is a collection of instructions that tells a computer what to do.
Number Systems and Encoding → Number systems and conversions, CPU, memory hierarchy and units of memory
Awaiting categorisation review
Included
ID 1579 · 2025 · 3 mark(s)
Convert the hexadecimal number 1A3 to its decimal equivalent. Show all steps.
Number Systems and Encoding → Number systems and conversions
Included
ID 1101 · 2025 · 4 mark(s)
State True or False:
(i) Python is an example of a high-level programming language.
(ii) ASCII can represent characters of multiple languages.
(iii) In Python, // operator is used for floor division.
(iv) In hexadecimal, the digit 'F' represents decimal 15.
Number Systems and Encoding → Number systems and conversions, Encoding schemes ASCII ISCII and Unicode
Excluded
ID 1102 · 2025 · 4 mark(s)
Fill in the blanks:
(i) The component of CPU that controls the flow of data is ______.
(ii) (123)₈ = (______)₁₀
(iii) (______)₂ = (124)₁₀
(iv) (AB)₁₆ = (______)₂
Number Systems and Encoding → Number systems and conversions, CPU, memory hierarchy and units of memory
Awaiting categorisation review
Excluded
ID 1105 · 2025 · 4 mark(s)
Answer the following questions in one word/line.
(i) Name one primary memory type.
(ii) Expand KB, MB and GB.
(iii) Which base is hexadecimal?
(iv) Name a Python keyword.
Number Systems and Encoding → Number systems and conversions, CPU, memory hierarchy and units of memory
Awaiting categorisation review
Excluded
ID 1369 · 2025 · 4 mark(s)
a) What is cache memory, and why is it considered crucial for improving the performance of a computer system?
b) Convert decimal number 25.3 to binary and to octal number systems.
Number Systems and Encoding → Number systems and conversions, CPU, memory hierarchy and units of memory
Awaiting categorisation review
Excluded
ID 1186 · 2025 · 5 mark(s)
a. Write the equivalent Boolean expression for the Logic Circuit.
[IMAGE]
b. Ms Sakshi is a Class XI students and study about the number system and their mutual conversions. Help her to do the following conversions to other number systems –
i. (76F)₁₆ = ( ? )₁₀
ii. (11001010)₂ = ( ? )₈
iii. (789)₁₀ = ( ? )₁₆
Boolean Logic and Logic Circuits → De Morgan's laws and logic circuits, Number systems and conversions