Chapter Exam

Chapter 2: Number Systems — Online MCQ Test

Q: What is the base of the Hexadecimal number system?

Answer: D. 16 — The Hexadecimal number system uses 16 symbols, representing values from 0 to 9 and A to F.

Q: Which of the following is NOT a positional number system?

Answer: C. Roman Numeral System — In the Roman numeral system, the value of a symbol does not depend on its position, making it a non-positional system.

Q: Convert the binary number 1011 to decimal.

Answer: C. 11 — (1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0) = 8 + 0 + 2 + 1 = 11.

Q: If a number system has base 'r', what is the largest digit possible?

Answer: C. r-1 — In any positional number system with base 'r', digits range from 0 to r-1.

Q: Which expression correctly defines the decimal value of a number (d_n d_{n-1} ... d_0) in base B?

Answer: A. Sum of (d_i * B^i) — The value of any number in base B is calculated by the sum of each digit multiplied by the base raised to the power of its position index.

COMPUTER APPLICATIONS · CLASS 11th · Tamil Nadu State Board

Practice Chapter 2: Number Systems with a free chapter-wise online MCQ test for Tamil Nadu State Board CLASS 11th COMPUTER APPLICATIONS. This chapter covers: Focusing on data representation this chapter covers positional number systems including binary octal decimal and hexadecimal. Students learn base conversions binary arithmetic sign.... AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter 2: Number Systems — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board CLASS 11th COMPUTER APPLICATIONS — Chapter 2: Number Systems, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is the base of the Hexadecimal number system?

A. 2
B. 8
C. 10
D. 16 ✓

Answer: D. 16
The Hexadecimal number system uses 16 symbols, representing values from 0 to 9 and A to F.

Which of the following is NOT a positional number system?

A. Decimal
B. Binary
C. Roman Numeral System ✓
D. Octal

Answer: C. Roman Numeral System
In the Roman numeral system, the value of a symbol does not depend on its position, making it a non-positional system.

Convert the binary number 1011 to decimal.

A. 9
B. 10
C. 11 ✓
D. 13

Answer: C. 11
(1 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0) = 8 + 0 + 2 + 1 = 11.

If a number system has base 'r', what is the largest digit possible?

A. r
B. r+1
C. r-1 ✓
D. 2r

Answer: C. r-1
In any positional number system with base 'r', digits range from 0 to r-1.

Which expression correctly defines the decimal value of a number (d_n d_{n-1} ... d_0) in base B?

A. Sum of (d_i * B^i) ✓
B. Sum of (d_i * i^B)
C. Product of (d_i * B^i)
D. Sum of (d_i + B^i)

Answer: A. Sum of (d_i * B^i)
The value of any number in base B is calculated by the sum of each digit multiplied by the base raised to the power of its position index.