Q4.1 Fill in the blank with explanation

Computer Science
Tutor: None Selected Time limit: 1 Day

A 16-bit ISA has the following format:  <OPCODE><DR><SR0><SR1> where DR is the Destination register and SR0 and SR1 are source registers. If the ISA defines 16 registers then the maximum number of opcodes support by this format is ________.

Oct 1st, 2015

Thank you for the opportunity to help you with your question!

ISA defines 16 registers which means each register is 4-bit in size ( since, 2^4 = 16)

<OPCODE> <DR> <SR0> <SR1> = 4-bit  + 4-bit + 4-bit + 4-bit = 16-bit ISA

OPCODE = 4-bit

Hence, maximum number of opcodes supported by this format is ,2^Iopcode sizeI =2^4 = 16

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 1st, 2015

So, for example:

Binary 0101 000 1101 0100

0101 = OPCODE = 4 bits = 2^4

0000 = DR            = 4 bits = 2^4

1101 = SR0          = 4 bits = 2^4

0100 = SR1          = 4 bits = 2^4

and the maximum number of opcodes is 4 bits ?

I though in binary in 0101 is 2^3 at the far end left because

0=2^3, 

1=2^2, 

0=2^1, 

1=2^0

I really confuse. and my 2nd though is:

Is it talking about how many possible registers can it takes in how many bits? like:

bit binary.JPG 

Am I right about the 2nd though?

So the answer is 4 bits?

Oct 1st, 2015

In the question it was mentioned that there are 16 registers which means each register can be represented by 4 - bits.

and ISA is <OPCODE> <DR> <SR0> <SR1> which is16bits

<OPCODE> + 4 + 4 + 4 = 16

<OPCODE> = 16 -12 = 4 bits

OPCODE is represented by 4-bits

So, maximum number of opcodes supported by this format is nothing but number of  possibilities with four bits which is 2^4 = 16

As u mentioned, 0101 is one representation in binary. You can have 16 such representations in binary with four bits


Oct 2nd, 2015

I'm still not quite sure the answer.

Is it 4 bits OR 16 possibilities?

Oct 2nd, 2015

The answer is 16 number of opcodes

Oct 3rd, 2015

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