Opcode 000 001 010 011 100 101 110 111 Operation O=B O=A^B (bitwise xor) O=A AND B (bitwise and) O=A OR B (bitwise or) O= A + B (addition) O=A - B (subtract) O(7) = 0, 0(6:0) = B (7:1) (logical shift right) O=AB (multiplication) Description Output is equal to input B E Xor of each bit in A with the corresponding bit in B AND of each bit in A with the corresponding bit in B OR of each bit in A with the corresponding bit in B 8 bit addition with a final carry out bit 8 bit subtraction with a borrow out bit Logical shift of the data at input B right by one bit 8 Multiplication. To make our design simpler, we will only keep the lower 8 bits of the result and signal an overflow
Opcode 000 001 010 011 100 101 110 111 Operation O=B O=A^B (bitwise xor) O=A AND B (bitwise and) O=A OR B (bitwise or) O= A + B (addition) O=A - B (subtract) O(7) = 0, 0(6:0) = B (7:1) (logical shift right) O=AB (multiplication) Description Output is equal to input B E Xor of each bit in A with the corresponding bit in B AND of each bit in A with the corresponding bit in B OR of each bit in A with the corresponding bit in B 8 bit addition with a final carry out bit 8 bit subtraction with a borrow out bit Logical shift of the data at input B right by one bit 8 Multiplication. To make our design simpler, we will only keep the lower 8 bits of the result and signal an overflow
Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Can you help make a Boolean algebra equation or truth table of the results and simplify it with a k-map for the multiplication part please?

Transcribed Image Text:### Opcode Table for Logical and Arithmetic Operations
Here is a detailed explanation of operations performed by various opcodes, specifically for educational purposes in digital logic design.
| **Opcode** | **Operation** | **Description** |
|------------|----------------------------|---------------------------------------------------------------------------------|
| 000 | O = B | Output is equal to input B. |
| 001 | O = A ^ B (bitwise XOR) | XOR of each bit in A with the corresponding bit in B. |
| 010 | O = A AND B (bitwise AND) | AND of each bit in A with the corresponding bit in B. |
| 011 | O = A OR B (bitwise OR) | OR of each bit in A with the corresponding bit in B. |
| 100 | O = A + B (addition) | 8-bit addition with a final carry out bit. |
| 101 | O = A - B (subtraction) | 8-bit subtraction with a borrow out bit. |
| 110 | O(7) = 0, O(6:0) = B(7:1) | Logical shift of the data at input B right by one bit. |
| 111 | O = A * B (multiplication) | 8-bit multiplication. Only the lower 8 bits of the result are kept, with overflow signaled. |
### Explanation of Operations:
- **Bitwise Operations (XOR, AND, OR):**
- Bitwise operations are performed between corresponding bits of inputs A and B, resulting in output O.
- **Arithmetic Operations (Addition, Subtraction, Multiplication):**
- These operations handle standard arithmetic between binary values with attention to carry and overflow.
- **Logical Shift:**
- The logical shift operation moves bits to the right, filling the vacant positions with zeros, effectively dividing the number by 2.
This table serves as a foundation for understanding basic binary operations in digital systems.
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