Electronics and Communication Engineering (ECE) Exam  >  Electronics and Communication Engineering (ECE) Questions  >  Which of the following combinations of logic ... Start Learning for Free
Which of the following combinations of logic gates can decode binary 1101?
  • a)
    One 4-input AND gate
  • b)
    One 4-input AND gate, one inverter
  • c)
    One 4-input AND gate, one OR gate
  • d)
    One 4-input NAND gate, one inverter
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which of the following combinations of logic gates can decode binary 1...
Decoding Binary 1101 using a 4-input AND gate and one inverter

To decode binary 1101, we need to use a combination of logic gates that can convert the binary input into a corresponding output. Let's analyze each option and determine which one is the correct choice:

a) One 4-input AND gate:
- An AND gate takes multiple inputs and produces an output that is HIGH (logic 1) only when all of its inputs are HIGH.
- In this case, a 4-input AND gate would require all four inputs to be HIGH in order to produce a HIGH output.
- Since the binary input 1101 has one input as LOW (0), this option is not suitable for decoding this binary.

b) One 4-input AND gate, one inverter:
- An inverter (also known as a NOT gate) produces the opposite logic level of its input. If the input is HIGH, the output is LOW, and vice versa.
- By using a 4-input AND gate and one inverter, we can achieve the desired decoding of binary 1101.
- The AND gate will check if all inputs are HIGH, and the inverter will invert the output of the AND gate, making it HIGH when the AND gate output is LOW.
- In this case, the 4-input AND gate will produce a LOW output since one input is LOW (0), and the inverter will invert this LOW output to HIGH.
- Therefore, this combination of logic gates can successfully decode binary 1101.

c) One 4-input AND gate, one OR gate:
- An OR gate produces a HIGH output when any of its inputs are HIGH.
- Combining a 4-input AND gate and an OR gate will not produce the desired decoding of binary 1101.
- The AND gate will check if all inputs are HIGH, and if any input is LOW, the AND gate output will be LOW.
- The OR gate will then produce a HIGH output since at least one input is LOW.
- Therefore, this combination of logic gates is not suitable for decoding binary 1101.

d) One 4-input NAND gate, one inverter:
- A NAND gate produces a LOW output only when all of its inputs are HIGH.
- Combining a 4-input NAND gate and an inverter will not produce the desired decoding of binary 1101.
- The NAND gate will produce a HIGH output since one input is LOW (0).
- The inverter will invert this HIGH output to LOW, which is not the desired output for decoding binary 1101.
- Therefore, this combination of logic gates is not suitable for decoding binary 1101.

Conclusion:
Based on the analysis above, the correct combination of logic gates to decode binary 1101 is option 'b' - one 4-input AND gate and one inverter. This combination ensures that the output is HIGH when the binary input is 1101 and LOW for all other inputs.
Free Test
Community Answer
Which of the following combinations of logic gates can decode binary 1...
For decoding any number output must be high for that code and this is possible in One 4-input NAND gate, one inverter option only. A decoder is a combinational circuit that converts binary data to n-coded data upto 2n outputs.
Attention Electronics and Communication Engineering (ECE) Students!
To make sure you are not studying endlessly, EduRev has designed Electronics and Communication Engineering (ECE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electronics and Communication Engineering (ECE).
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer?
Question Description
Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electronics and Communication Engineering (ECE). Download more important topics, notes, lectures and mock test series for Electronics and Communication Engineering (ECE) Exam by signing up for free.
Here you can find the meaning of Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Which of the following combinations of logic gates can decode binary 1101?a)One 4-input AND gateb)One 4-input AND gate, one inverterc)One 4-input AND gate, one OR gated)One 4-input NAND gate, one inverterCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Electronics and Communication Engineering (ECE) tests.
Explore Courses for Electronics and Communication Engineering (ECE) exam

Top Courses for Electronics and Communication Engineering (ECE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev