Computer Systems Design · End Term · Sep 2025 · AN

A multiplexer is a combinational circuit that selects one input from multiple inputs and forwards it to a single output.

A JK flip-flop cannot store information without a continuous clock input.

In a 4-bit system, the two's complement of a binary number 1010 can be represented as -6.

A decoder performs the inverse operation of a multiplexer.

According to Moore's Law, the size of transistors on an integrated circuit doubles approximately every two years.

Using 2's complement method, evaluate

where

and

. Give the answer in 8-bit binary format.

Given that NOT, 2-input AND/OR gates have delays of 1 ns, what will be the maximum delay of a 2x1 multiplexer circuit? Note: if the answer is 1 ns, write 1.

Consider the circuit consisting of three D flipflops and one NAND gate as shown below. The initial states are Q1=1, Q2=0, and Q3=1. What is the output after (Q1,Q2,Q3) after 5 clock pulse?

Note: If answer is Q1=0, Q2=0, Q3=0, then write 000

Consider the circuit diagram as shown below. Assuming it was initially cleared to 0, state the output(Y) for the next 4 clock pulses.

A modern RISC processor contains 32 registers in its general-purpose register file. The Arithmetic Logic Unit (ALU) of the processor is capable of executing 8 distinct operations, which include standard arithmetic and logical functions. What is the

number of bits required by a

instruction to perform a bitwise

operation between two source operands located in the register file, and store the computational result back into a designated destination register?

In the circuit shown below, D1 and D2 are positive triggered D flipflops, x1 and x2 are inputs of D1 and D2 flipflop. Choose the correct timing diagram of the output Y.

Consider a gated D-Latch constructed using NAND gates. The initial input (at 0 ns) is D = 1, and the write enable is high. The write enable toggles between high and low every 5 ns. The input D changes from 0 to 1 and from 1 to 0 every 6 seconds. What will be the output Q after 22 ns?