Knowee
Questions
Features
Study Tools

A processor has 40 distinct instructions and 24general purpose registers. A 32 bits instructionword has an opcode, two register operands andan immediate operand. The number of bitsavailable for the immediate operand is

Question

A processor has 40 distinct instructions and 24general purpose registers. A 32 bits instructionword has an opcode, two register operands andan immediate operand. The number of bitsavailable for the immediate operand is

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

To solve this problem, we need to understand how the 32 bits of the instruction word are divided.

  1. First, we need to calculate the number of bits needed for the opcode. Since there are 40 distinct instructions, we need enough bits to represent 40 different values. The smallest number of bits that can do this is 6, because 2^6 = 64, which is more than 40. So, we need 6 bits for the opcode.

  2. Next, we need to calculate the number of bits needed for the two register operands. Since there are 24 general purpose registers, we need enough bits to represent 24 different values. The smallest number of bits that can do this is 5, because 2^5 = 32, which is more than 24. So, we need 5 bits for each register operand, which totals to 10 bits for the two register operands.

  3. Now, we subtract the number of bits used for the opcode and the register operands from the total number of bits in the instruction word. This will give us the number of bits available for the immediate operand.

So, the calculation is: 32 bits (total) - 6 bits (opcode) - 10 bits (register operands) = 16 bits.

Therefore, the number of bits available for the immediate operand is 16.

This problem has been solved

Solution 2

To solve this problem, we need to understand how the 32 bits of the instruction word are divided.

  1. First, we need to calculate the number of bits needed for the opcode. Since there are 40 distinct instructions, we need enough bits to represent 40 different values. The smallest number of bits that can do this is 6 because 2^6 = 64, which is more than 40. So, we need 6 bits for the opcode.

  2. Next, we need to calculate the number of bits needed for the two register operands. Since there are 24 general purpose registers, we need enough bits to represent 24 different values. The smallest number of bits that can do this is 5 because 2^5 = 32, which is more than 24. So, we need 5 bits for each register operand, which totals to

This problem has been solved

Similar Questions

A computer has a main memory with 16 bits per word and a CPU with16 general purpose registers. The instruction set consists of10 differentoperations and each instruction has two operands. Each operandidentifies an immediate value, a register value, or a memory location.The processor can access memory using 6-bit addresses. Specify theinstruction fonnat and the number of bits in each field if the instructionis stored in one word of memory.

The collection of different instructions that the processor can execute is referred to asSelect one:A.Instruction word.B.Instruction set.C.Instruction format.D.Instruction code.

What is the opcode range for memory refrence instruction in basic computer.Group of answer choices000~110111222fff

An n-bit microprocessor has - A. n-bit instruction register B. n-bit address register C. n-bit program counter D. None of the above

In vertical microprogramming, the total size of the encoded instruction is ___ bits. 65 45 32 40

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.