Match List-I (Logic gates) with List-ll (Symbols) and select the correct answer using the codes given below the lists
The minimum number of NAND gate required to implement the logic function given by is
can be implemented using 4 NAND gates as shown below:
Assertion (A): When Os and 1s are interchanged in the truth table, the positive logic AND gate becomes negative logic OR gate, and positive logic NAND gate becomes negative logic NOR gate.
Reason (R): The simple method of converting the logic designation (i.e. from positive to negative logic or vice versa) is that all 0’s are replaced with 1s and all 1s with Os in the truth table.
Thus, we see that after interchanging all 1’s and 0’s of inputs in the truth table of positive logic AND gate, the resulting truth table obtained is the truth table of negative logic OR gate. Similarly, we can prove that if all 0’s and 1's inputs in the truth table of NAND gate are interchanged, then the gate becomes negative logic NOR gate. Hence, both assertion and reason are true and reason is the correct explanation of assertion.
Match List-I (Logic gates) with List-ll (Applications) and select the correct answer using the codes given below the lists:
A. Exclusive OR gate
B. NOT gate
C. Exclusive NOR gate
D. NOR gate
1. As a controlled inverter
2. As an universal gate
4. Even-odd parity check
For control input = 1 ,
For control input = 0, Y = A
Assertion (A): The EX-NOR gate can be used as a "one-bit comparator.
Reason (R): The output of the EX-NOR gate is high if the number of high inputs to it is even while the output is low if the number of high inputs to it is odd.
An important property of the EX-NOR gate is that it can be used for bit comparison. The output of an EX-NOR gate is 1 (high) if both the inputs are similar, i.e. both are 0 or 1 (not necessarily even no. of high inputs); otherwise its output is 0 or low (not necessarily odd number of high inputs). Hence, EX-NOR gate can be used as a “one-bit comparator” . Thus, assertion is a correct statement. Reason is also a true statement but not a correct explanation of assertion.
Consider the following logic circuit: What is the required input condition (A, B, C) to make the output X = 1, for the above logic circuit
Here, (0, 1, 1) gives the output X = 1
Match List-I (Logic expression) with List-ll (Equivalent expression) and select the correct answer using the codes given below the lists:
The code where all successive numbers differ from their preceding number by single bit is __________
The code where all successive numbers differ from their preceding number by single bit is gray code. It is an unweighted code. The most important characteristic of this code is that only a single bit change occurs when going from one code number to next. BCD Code is one in which decimal digits are represented by a group of 4-bits each, whereas, in Excess-3 Code, the decimal numbers are incremented by 3 and then written in their BCD format.
What is a Latch?
It is a D-type of flip-flop and stores one bit of data.
Which of the following logic gate follow both commutative and associate law?
AND, OR, NOT are three basic gates which follow both commutative and associate law. However, the universal gates NAND and NOR don't follow associate law.