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Question (31)

QN0018630

Which decimal number is represented by 203₅?

(A) 53
(B) 58
(C) 63
(D) 68

Correct Answer: A

Explanation:

2×25 + 3 = 53.

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Question (32)

QN0018631

What is the decimal value of 111₅?

(A) 25
(B) 30
(C) 31
(D) 35

Correct Answer: C

Explanation:

25 + 5 + 1 = 31.

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Question (33)

QN0018632

In any base-b system, the place values are powers of:

(A) 10
(B) b
(C) 2
(D) 5

Correct Answer: B

Explanation:

Place values are b⁰, b¹, b², ...

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Question (34)

QN0018633

Which statement correctly defines the base of a number system?

(A) The largest place value
(B) The number of digits available in the system
(C) The total number of numbers
(D) The number of operations possible

Correct Answer: B

Explanation:

Base equals the number of available digits.

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Question (35)

QN0018634

Which numeral is valid in a base-3 system?

(A) 213₃
(B) 202₃
(C) 324₃
(D) 431₃

Correct Answer: B

Explanation:

Only digits 0, 1 and 2 are allowed.

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Question (36)

QN0018635

What is the decimal value of 202₃?

(A) 18
(B) 20
(C) 22
(D) 24

Correct Answer: B

Explanation:

2×9 + 2 = 20.

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Question (37)

QN0018636

A number system has digits 0, 1, 2, 3, 4, 5 and 6. What is its base?

(A) 5
(B) 6
(C) 7
(D) 8

Correct Answer: C

Explanation:

Seven digits imply base 7.

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Question (38)

QN0018637

Which concept allows the same digit to have different values in different positions?

(A) Counting principle
(B) Repeated addition
(C) Place value
(D) Estimation

Correct Answer: C

Explanation:

Place value changes the value of a digit.

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Question (39)

QN0018638

Why is binary widely used in computers?

(A) It uses Roman symbols
(B) Electronic circuits naturally represent two states
(C) It has more digits than decimal
(D) It avoids place value

Correct Answer: B

Explanation:

Computers use ON/OFF states represented by 0 and 1.

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Question (40)

QN0018639

If humans had naturally counted using eight fingers, which base might have become common?

(A) Base-2
(B) Base-5
(C) Base-8
(D) Base-20

Correct Answer: C

Explanation:

Eight fingers would naturally suggest a base-8 system.

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Question (31)

Which decimal number is represented by 203₅?

Explanation:

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Question (32)

What is the decimal value of 111₅?

Explanation:

Link:

Question (33)

In any base-b system, the place values are powers of:

Explanation:

Link:

Question (34)

Which statement correctly defines the base of a number system?

Explanation:

Link:

Question (35)

Which numeral is valid in a base-3 system?

Explanation:

Link:

Question (36)

What is the decimal value of 202₃?

Explanation:

Link:

Question (37)

A number system has digits 0, 1, 2, 3, 4, 5 and 6. What is its base?

Explanation:

Link:

Question (38)

Which concept allows the same digit to have different values in different positions?

Explanation:

Link:

Question (39)

Why is binary widely used in computers?

Explanation:

Link:

Question (40)

If humans had naturally counted using eight fingers, which base might have become common?

Explanation:

Link:

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