Digital Electronics

Find the 1's complement of the following binary numbers: (a) $(11100{)}_2$ (b) $(1101{)}_2$

Realise the expression $Y=$ AB + A'B using only NAND gates.

Draw the block diagram of a full subtractor.

What are shift registers?

What is a logic family?

Define fan-in and fan-out.

What is the difference between Asynchronous and synchronous counters?

How does a decoder differ from an encoder?

Explain the difference between SOP and POS forms.

Express the number $(137{)}_{10}$ in BCD and binary.

What is the necessary condition for a weighted code to be self-complementing? Give two examples of weighted codes.

Simplify the following equation using the K-mapping procedure: X = A'BD' + AC'D + A'B'C + AB'C'D + A'BC'D'

Convert the following number into the respective index given: (a) $(89{)}_{10}$ = ( )2 = ( )16 (b) $(1011.101101{)}_2$ = ( )8 = ( )10

Explain in detail the working of Finite state machines.

Prove the following identities using Boolean algebra and DeMorgan's theorems: (a) (AB + BC + CA)' = A'B' + B'C' + C'A' (b) AB + A'C + ABC(AB + C) = 1 (OCR error likely, checking logic)

Describe a simple four-line multiplexer with a Logic Diagram.

Describe the advantages and disadvantages of ECL. Why is ECL faster than TTL?

Draw the logic circuit for the following equations. Simplify the equations and draw the simplified logic circuits: (a) V = AC + ACD + CD (b) W = (BCD + C)CD (c) X = (B + D)(A + C) + ABD (d) $Y=$ AB + BC + ABC (e) Z = ABC + CD + CDE

Simplify the Boolean function F(W, X, Y, Z) = Σm(1, 3, 7, 11, 15) and the don't-care conditions d(W, X, Y, Z) = Σm(0, 2, 5).

Discuss the detailed procedure for the analysis of combinational circuits.

Explain the noise margin and figure of merit of a logic family. List the differences between the TTL logic family and the MOS family.

Explain the different types of flip flops along with their truth table.