Digital Fundamentals Quiz - BE Semester III (New) Exam at GTU

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Define the logic family properties: (i) fan in (ii) propagation delay (iii) power dissipation.

The logic family properties are as follows: (i) Fan in: It refers to the number of inputs that a gate can accept. (ii) Propagation delay: It is the time taken for the output of a gate to stabilize after the input has changed. (iii) Power dissipation: It is the amount of power consumed by a gate during its operation.

Why are NAND and NOR gates called universal gates? Explain with an example.

NAND and NOR gates are called universal gates because they can be used to implement any logic function. They can be used to create all the basic gates (AND, OR, NOT) as well as any complex logic function. For example, by using NAND gates, we can create an OR gate by connecting the inputs of the NAND gate to the inputs of the OR gate and connecting the output of the NAND gate to the input of a NOT gate.

Explain the concept of a half subtractor with a logic circuit.

A half subtractor is a combinational circuit that performs subtraction of two single-bit binary numbers A and B. It has two outputs: the difference (D) and the borrow (B). The logic circuit of a half subtractor consists of two XOR gates and one AND gate. The XOR gates perform the bitwise subtraction, while the AND gate generates the borrow output. The truth table of a half subtractor is as follows: A B D B 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0

Convert the number (62)10 to binary and octal.

<p>To convert (62)10 to binary, divide the number by 2 repeatedly and record the remainders from bottom to top. The binary representation of (62)10 is (111110)2. To convert (62)10 to octal, divide the number by 8 repeatedly and record the remainders from bottom to top. The octal representation of (62)10 is (76)8.</p> Signup and view all the answers

Minimize the boolean expression using K-map: f (A, B, C, D) = ∑m (0, 1, 5, 6, 7, 8, 9) + d(10, 11, 12, 13, 14, 15)

<p>The boolean expression f (A, B, C, D) can be minimized using a Karnaugh map (K-map). The minimized expression is: f (A, B, C, D) = B'D + A'D + ABC + AB'D'</p> Signup and view all the answers

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