Introduction to Computing Systems: From Bits & Gates to C & Beyond
3rd Edition
ISBN: 9781260424751
Author: PATT, Yale
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 3, Problem 29E
Program Plan Intro
OR operation:
- OR function needs two inputs and produces one output.
- It is also known as binary logical function.
- If one of the inputs or both the inputs are “1”, then one-bit OR operation produces the output as “1”.
- If both the inputs are “0”, then OR operation produces the output “0”.
- The following diagram depicts the one-bit OR operation,
- The truth table for OR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
- In the above table, “X” and “Y” are the inputs, and “Z” is the output.
- In the above table, when “X=0”, and “Y=0”, the output “Z” is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output “Z” is “1”, because one of the input “Y” contains the value “1”.
- When “X=1”, and “Y=0”, the output “Z” is “1”, because one of the input “X” contains the value “1”.
- When “X=1”, and “Y=1”, the output “Z” is “1”, because both the inputs “X” and “Y” contains the value “1”.
AND function:
- AND function needs two inputs and produces one output.
- It is also known as binary logical function.
- If one or both the inputs are “0”, then one-bit AND operation produces the output “0”.
- If both inputs are “1”, then AND operation produces the output as “1”.
- The following diagram depicts the AND operation,
- The truth table for AND operation is as follows,
| X | Y | X AND Y |
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
- In the above table, “X” and “Y” are inputs, and “Z” is output.
- When “X=0”, and “Y=0”, the output is “0”, because both the inputs “X” and “Y” contains the value “0”.
- When “X=0”, and “Y=1”, the output is “0”, because one of the input “X” contains the value “0”.
- When “X=1”, and “Y=0”, the output is “0”, because one of the input “Y” contains the value “0”.
- When “X=1”, and “Y=1”, the output is “1”, because both the inputs “X” and “Y” contains the value “1”.
NOR function:
- The NOR operation produces the output which is the negation of the result of “OR” operation.
- If one or both the inputs are “1”, then NOR operation produces the output as “0”.
- If both the inputs are “0”, then NOR operation produces the output “1”.
- The following diagram depicts the NOR operation,
- The truth table for NOR operation is as follows,
| X | Y | Z=X OR Y |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
NAND function:
- The NAND operation produces the output which is the negation of the result of “AND” operation.
- If one or both the inputs are “0”, then NAND operation produces the output “1”.
- If both inputs are “0”, then NAND operation produces the output as “0”.
- The following diagram depicts the NAND operation,
- The truth table for NAND operation is as follows,
| X | Y | X NAND Y |
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
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Chapter 3 Solutions
Introduction to Computing Systems: From Bits & Gates to C & Beyond
Ch. 3 - Prob. 1ECh. 3 - Replace the missing parts in the following circuit...Ch. 3 - A two-input AND and a two-input OR are both...Ch. 3 - Replace the missing parts in the following circuit...Ch. 3 - Complete a truth table for the transistor-level...Ch. 3 - For the transistor-level circuit in Figure 3.38,...Ch. 3 - Prob. 7ECh. 3 - The transistor-level circuit below implements the...Ch. 3 - What does the following transistor circuit do?
Ch. 3 - For what values of A, B, C, D, E, and F will the...
Ch. 3 - A student knew that an inverter contained one...Ch. 3 - The following logic diagram produces the logical...Ch. 3 - The following logic circuits consist of two...Ch. 3 - Fill in the truth table for the logical expression...Ch. 3 - Fill in the truth table for a two-input NOR...Ch. 3 - Prob. 19ECh. 3 - How many output lines will a 16-input multiplexer...Ch. 3 - Prob. 21ECh. 3 - Given the following truth table, generate the...Ch. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Logic circuit 1 in Figure 3.39 has inputs A, B, C....Ch. 3 - You know a byte is eight bits. We call a four-bit...Ch. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Say the speed of a logic structure depends on the...Ch. 3 - Recall that the adder was built with individual...Ch. 3 - For this question, refer to the figure that...Ch. 3 - Prob. 35ECh. 3 - A comparator circuit has two 1-bit inputs A and B...Ch. 3 - If a computer has eight-byte addressability and...Ch. 3 - Prob. 38ECh. 3 - Refer to Figure 3.21, the diagram of the...Ch. 3 - Given a memory that is addressed by 22 bits and is...Ch. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 47ECh. 3 - Refer to Figure 3.32. Why are lights 1 and 2...Ch. 3 - Prob. 49ECh. 3 - We have learned that we can write one bit of...Ch. 3 - A student decided to design a latch as shown...
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