Question

In: Computer Science

What is the minimum number of bits for representing the opcode if there are 62 different...

What is the minimum number of bits for representing the opcode if there are 62 different instructions?

Please explain it, thanks.

Solutions

Expert Solution

Minimum number of bits = 6

Explanation:

An opcode is a part of the instruction that specifies the operation that will be performed by this.

If we have only two opcodes, then only one bit can be used for representation. Bit '0' for the first opcode and a bit '1' for the second opcode.

If we have 3 or 4 opcodes then two-bit can be used for representation as given below:

00, 01, 10, 11

So, 'n' bits can be used to represent the 2n opcode.

For 62 opcode, we need 6 bits to represent 26 = 64 opcode.

Five bits are not enough because five bits can be used to represent the 25 = 32 opcode only.

So, minimum number of bits required is 6.


Related Solutions

What is the minimum number of bits needed to encode the days of the month in...
What is the minimum number of bits needed to encode the days of the month in a Canadian calendar. 1. 5 2. 3 3. 6 4. 4
Using the simple model for representing binary floating point numbers A floating-point number is 14 bits...
Using the simple model for representing binary floating point numbers A floating-point number is 14 bits in length. The exponent field is 5 bits. The significand field is 8 bits. The bias is 15 Represent -32.5010 in the simple model.
Write a program that copies the even number of bits from a into the corresponding bits...
Write a program that copies the even number of bits from a into the corresponding bits in b ,only use bit-manipulation instructions, no loop int main () { uint_32 a = 0 xaabbccdd ; uint_32 b = 0 x11223344 ; // Replace bits 0 ,2 ,4 ,... of b with bits 0 ,2 ,4 ,... from a . uint_32 result = ...; // Print out the result as a hexadecimal number }
Given the data-bits m = 11010110, determine the number of k (parity-bits) by using Hamming Code...
Given the data-bits m = 11010110, determine the number of k (parity-bits) by using Hamming Code requirements. Illustrate the error detection and correction scheme using Hamming code method, for both the sender and receiver to detect an error at the following positions: a.6thbit position. b.11thbit position.Assume an odd-parity scheme for this problem.
Given the data-bits m = 11010110, determine the number of k (parity-bits) by using Hamming Code...
Given the data-bits m = 11010110, determine the number of k (parity-bits) by using Hamming Code requirements. Illustrate the error detection and correction scheme using Hamming code method, for both the sender and receiver to detect an error at the following positions: a. 6th bit position. b. 11th bit position. Assume an odd-parity scheme for this problem.
Computer Architecture 1. Define what a "word" is in computer architecture: The size (number of bits)...
Computer Architecture 1. Define what a "word" is in computer architecture: The size (number of bits) of the address The total number of bits of an instruction (e.g. 16 bits) Word and width are synonymous. A word is the contents of a memory register. 2. What is the difference between a register’s width and a register’s address? (choose all that apply - there may be more than one correct answer) They are both the same! Address is the same for...
1a. What is the largest positive and negative number that you could represent with 7 bits...
1a. What is the largest positive and negative number that you could represent with 7 bits using signed magnitude? Show your work. 1c. Solve the following decimal notation equation using 8-bit binary numbers and 2’s complement notation: 69 - 7 = Show your work
What is the Opcode? What is the Operand? What is the value in Register 5 after the instruction is executed?
What is the Opcode? What is the Operand? What is the value in Register 5 after the instruction is executed?
1a. What is the largest negative number that you could represent with 7 bits using signed...
1a. What is the largest negative number that you could represent with 7 bits using signed magnitude? Show your work. 1b. What is the largest positive number that you could represent with 7 bits using 2’s complement? Show your work. 1c. Add the following two binary numbers 10110111 + 1011 = :Show your work. 1d. Solve the following decimal notation equation using 8-bit binary numbers and 2’s complement notation: 69 - 7 = :Show your work
Please answer all question for the feedback. 1. What is an Instruction Specifier (or opcode)? What...
Please answer all question for the feedback. 1. What is an Instruction Specifier (or opcode)? What is an Operand Specifier? 2. What is the difference between aaa and a? 3. How do you grow the stack? How do you shrink the stack? 4. Given: int xyz(int a) {      int b;      ... some code     return b; } What would the stack look like after the function allocates its local variable of b? 5. The debugger has trace commands...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT