Computer System Design End Term: 22 December 2024 (September 2024 term)

In a 4-bit system, the one’s complement of the binary number 1001 is 0111.

A synchronous counter triggers all flipflops using a common clock signal, while an asynchronous counter triggers each flipflop using the output of the previous 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 1 and all the rest are 0s.

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.

Consider a mod-10 up counter with an initial state of 0101. What will be the state of the counter after 23 clock pulses?

A processor contains 64 registers in its register file. The ALU of the processor supports 8 operations: addition, subtraction, multiplication, division, AND, OR, XOR, and NOR. What is the minimum number of bits required by an instruction to perform a subtraction operation between two operands stored in the register file, and store the result in a third register?

Suppose we want to execute a data movement instruction, where we move the data present in register $R_{12}$ to register $R_7$.

Instruction: MOV $R_d$, $R_r$

$R_d$: Destination register, $R_r$: Source register

Operands: $0 \le d \le 31, 0 \le r \le 31$

Instruction Format:

What will be the hexadecimal machine code for the instruction?

Note: Enter the value in hexadecimal format(e.g. 0x2438).