Multiple Choice of Questions on Number System

 

1. The parameter through which 16 distinct values can be represented is known as ________

A) Bit
B) Byte
C) Word
D) Nibble

ANSWER= (C) Word
Explain:- It can be represented up to 16 different values with the help of a Word. Nibble is a combination of four bits and Byte is a combination of 8 bits. It is “word” that is said to be a collection of 16-bits on most of the systems.

 

2. An important drawback of binary system is ________

A) It requires very large string of 1’s and 0’s to represent a decimal number.
B) It requires sparingly small string of 1’s and 0’s to represent a decimal number.
C) It requires large string of 1’s and small string of 0’s to represent a decimal number.
D) It requires small string of 1’s and large string of 0’s to represent a decimal number.

ANSWER= (A) It requires very large string of 1’s and 0’s to represent a decimal number.
Explain:- The most vital drawback of binary system is that it requires very large string of 1’s and 0’s to represent a decimal number. Hence, Hexadecimal systems are used by processors for calculation purposes as it compresses the long binary strings into small parts.

 

3. The quantity of double word is ________

A) 16 Bits
B) 32 Bits
C) 4 Bits
D) 8 Bits

ANSWER= (B) 32 Bits
Explain:- One word means 16 bits, So, the quantity of double word will be 32 bits.

 

4. If the decimal number is a fraction then its binary equivalent is obtained by ________ the number continuously by 2.

A) Dividing
B) Multiplying
C) Adding
D) Subtracting

ANSWER= (B) Multiplying

 

5. The decimal equivalent of the binary number (1011.011)₂ is ________

A) (11.375)₁₀
B) (10.123)₁₀
C) (11.175)₁₀
D) (9.23)₁₀

ANSWER=  (A) (11.375)₁₀
Explain:- 1×2³ + 0×2² + 1×2¹ + 1×2⁰ + 0×2⁻¹ + 1×2⁻² + 1×2⁻³ = (11.375)₁₀

 

6. The representation of octal number (532.2)₈ in decimal is ________

A) (346.25)₁₀
B) (532.864)₁₀
C) (340.67)₁₀
D) (531.668)₁₀

ANSWER= (A) (346.25)₁₀
Explain:- 5×8² + 3×8¹ + 2×8⁰ + 2×8⁻¹ = (346.25)₁₀

 

7. The decimal equivalent of the octal number (645)₈ is ______

A) (450)₁₀
B) (451)₁₀
C) (421)₁₀
D) (501)₁₀

ANSWER= (C) (421)₁₀
Explain:- 6×8² + 4×8¹ + 5×8⁰ = 384 + 32 + 5 = (421)₁₀

 

8. The largest two digit hexadecimal number is ________

A) (FE)₁₆
B) (FD)₁₆
C) (FF)₁₆
D) (EF)₁₆

ANSWER= (C) (FF)₁₆
Explain:- (FE)₁₆ is 254 in decimal system, while (FD)₁₆ is 253. (EF)₁₆ is 239 in decimal system. And, (FF)₁₆ is 255. Thus, The largest two-digit hexadecimal number is (FF)₁₆.

 

9. Representation of hexadecimal number (6DE)₁₆ in decimal:

A) 6×16² + 13×16¹ + 14×16⁰
B) 6×16² + 12×16¹ + 13×16⁰
C) 6×16² + 11×16¹ + 14×16⁰
D) 6×16² + 14×16¹ + 15×16⁰

ANSWER= (A) 6×16² + 13×16¹ + 14×16⁰
Explain:- (A)D=13, E=14, so 6×16² + 13×16¹ + 14×16⁰ = (6DE)₁₆

 

10. The given hexadecimal number (1E.53)16 is equivalent to ____________

A) (35.684)₈
B) (36.246)₈
C) (34.340)₈
D) (35.599)₈

ANSWER= (B) (36.246)₈