The minimum number of flip-flops required to construct a counter to count upto 200 (decimal)

This question was previously asked in
ISRO (VSSC) Technician Electrician  Feb 2019 Official Paper
View all ISRO Technician Papers >
  1. 5
  2. 7
  3. 8
  4. 10

Answer (Detailed Solution Below)

Option 3 : 8
Free
DRDO Technician Fitter (Rank Booster): Mini Mock Test
5.1 K Users
60 Questions 60 Marks 45 Mins

Detailed Solution

Download Solution PDF

Concept:

For an ‘n’ flip flop counter,
  • The total number of states = 2n (0 to 2n – 1)
  • The largest number that can be stored in the counter = 2n – 1


To construct any mod counter, the minimum number flip flops required such that: Modulus ≤ 2n

Where n is the number of counters.

Calculation:

Number no. of flip – flops are required to construct a mod-200 counter is obtained as:

2n ≥ 200 

For n = 8

28 = 256 > 200

∴ 8 flip-flops required to construct a counter to count upto 200 (decimal)

Latest ISRO Technician Updates

Last updated on May 28, 2025

-> ISRO Technician recruitment notification 2025 has been released. 

-> Candidates can apply for the ISRO recruitment 2025 for Technicians from June 2. 

-> A total of 64 vacancies are announced for the recruitment of Technician. 

-> The selection of the candidates is based on their performance in the Written Exam and Skill Test. 

-> Candidates who want a successful selection must refer to the ISRO Technician Previous Year Papers to increase their chances of selection for the Technician post. 

Get Free Access Now
Hot Links: teen patti - 3patti cards game teen patti 500 bonus teen patti rummy teen patti real cash 2024 teen patti winner