Number System MCQ SET-1 Question With Answer

**1. Knowledge of binary number system is required for the designers of computers and other digital systems because **

Answer : D (The devices used in these systems operate in binary)

**2. A binary number with n bits all of which are 1s has the value **

Answer : D (2^{n}-1)

**3. If √41 = 5, the base (radix)of the number system is **

Answer : B (6)

**4. The number of bits required to assign binary roll numbers to a class of 60 students is **

Answer : B (6)

**5. The radix of the number system if 302/20 = 12.1 is **

Answer : B (4)

##### Number System MCQ

**6. The value of base r if (121) _{r} = (144)_{8} is **

Answer : C (9)

**7. The value of base r if (159) _{10} = (186)_{r} is **

Answer : B (9)

**8. When two n bit binary numbers are added, the sum will contain at the most **

Answer : B (n + 1 bits)

**9. when two n bits binary numbers are multiplied, the product will contain at the most **

Answer : B (2n bits)

**10. A group of 8 bits is known as **

Answer : B (A byte)

##### Number System MCQ

**11. In a digital system performance accuracy depends on **

Answer : (C) Word length

**12. The most important advantage of a digital system over an analog system is **

Answer : (D) Noise immunity

**13. How many binary numbers are created with 8-bits? **

Answer : (A) 256

**14. The highest decimal number that can be represented with 10 binary digits is **

Answer : (B) 1023

**15. Let (A2C) _{16} = (X)_{8}, Then X is given by **

Answer : (D) 5054

##### Number System MCQ

**16. The number of 1s are present in the binary representation of 3*512+7*64+5*8+3 is **

Answer : (C) 9

**17. If (212) _{x} = (23)_{10} where x is base (+ve integer), then the value of x is **

Answer : (B) 3

**18. The decimal equivalent of (1111100100) _{2} is **

Answer : (C) 996

**19. The decimal number equivalent of (A0F9.0EB) _{16} is **

Answer : (C) 41209.0572

**20. Hexadecimal equivalent of the binary no. 10111010001111 is **

Answer : (A) 2E8F

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