Computer Systems Design · End Term · Jan 2024 · AN

In a 4-bit system, the one’s complement of the binary number 0001 is 1110.

An asynchronous counter uses a common clock signal to trigger all flipflops, while a synchronous counter uses the output of each flipflop to trigger the next flipflop.

In a system with 65 unique states, 5 flipflops are sufficient to represent all the states.

In a decoder, at any point, exactly one of the outputs is 0 and all the rest are 1s.

According to Moore’s law, if a computer system has 2 million transistors today, then it will have approximately 64 million transistors in 8 years.

A circuit has four inputs (A, B, C and D) and a single output Y. Y is set to logic one if A is equal to B and C is equal to D, otherwise, Y is set to logic zero. How many maxterms present in the POS expression for Y?

What is the minimum number of flipflops required to construct a 5-bit Johnson counter, assuming that all the basic gates are available?

If we implement a simple memory array with 8-bit addressability and address space size of 20 bits, then what would be the total size of the memory (in bits)?

Let a processor contain 32 registers in its register file. Consider that the ALU is capable of performing 4 different operations: addition, subtraction, AND, and XNOR. What is the minimum number of bits required by an instruction in order to perform addition between two operands stored in the register file and then store the result in the register containing the first operand?