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4. Convert the decimal numbers 73 and -1630 into signed 12-bit numbers in the following representations: (a) Sign and magnitude (b) l's complement (c) 2's complement

4. Convert the decimal numbers 73 and -1630 into signed 12-bit numbers in the following representations: (a) Sign and magnitude (b) l's complement (c) 2's complement

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Question 4:** Convert the decimal numbers 73 and -1630 into signed 12-bit numbers in the following representations: (a) Sign and magnitude (b) 1's complement (c) 2's complement **Question 5:** Write a Verilog module to describe the 4 × 4 multiplier shown in Figure 3.35. **Figure 3.35: A 4 × 4 Multiplier Circuit Description** The diagram is a detailed circuit of a 4 × 4 binary multiplier. It uses multiple full adders (FA) and AND gates arranged in a structured pattern to achieve the multiplication process. - **Inputs:** - Four inputs labeled \( m_3, m_2, m_1, m_0 \). - Four inputs labeled \( q_3, q_2, q_1, q_0 \). - **Process:** - The inputs pass through a series of AND gates, each connected to a full adder (FA). - The FAs are arranged in a pyramidal structure to perform addition of partial products and generate carry bits efficiently. - The output bits from the FAs produce eight bits \( p_7, p_6, p_5, p_4, p_3, p_2, p_1, p_0 \). - **Outputs:** - The final outputs are labeled as \( p_7 \) through \( p_0 \), representing the result of the multiplicative operation. This diagram illustrates the efficient use of combinational logic to create a binary multiplier using fundamental digital circuit components.
Transcribed Image Text:**Question 4:** Convert the decimal numbers 73 and -1630 into signed 12-bit numbers in the following representations: (a) Sign and magnitude (b) 1's complement (c) 2's complement **Question 5:** Write a Verilog module to describe the 4 × 4 multiplier shown in Figure 3.35. **Figure 3.35: A 4 × 4 Multiplier Circuit Description** The diagram is a detailed circuit of a 4 × 4 binary multiplier. It uses multiple full adders (FA) and AND gates arranged in a structured pattern to achieve the multiplication process. - **Inputs:** - Four inputs labeled \( m_3, m_2, m_1, m_0 \). - Four inputs labeled \( q_3, q_2, q_1, q_0 \). - **Process:** - The inputs pass through a series of AND gates, each connected to a full adder (FA). - The FAs are arranged in a pyramidal structure to perform addition of partial products and generate carry bits efficiently. - The output bits from the FAs produce eight bits \( p_7, p_6, p_5, p_4, p_3, p_2, p_1, p_0 \). - **Outputs:** - The final outputs are labeled as \( p_7 \) through \( p_0 \), representing the result of the multiplicative operation. This diagram illustrates the efficient use of combinational logic to create a binary multiplier using fundamental digital circuit components.
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Binary numbers are the numbers which contains base 2 and it contains only two digits that are 0 and 1. These numbers are understood by computer systems.

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