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A- Design Subtractor using one 4-bits Binary Adder by adding the appropriate gates to it. (You can use any of the representations of 4-bits Binary Adder shown below). Cy Y3Y2Y1Y0 1111 Binary Adder X3X2X1X0 S3S₂S1S0 Co = Xo- You X₁ Y₁ X₂. Y2- X3 Уз FA FA C EDU FA cin + COUR FA cin S₂ S₁ ·$₂ .S₂ Cy

A- Design Subtractor using one 4-bits Binary Adder by adding the appropriate gates to it. (You can use any of the representations of 4-bits Binary Adder shown below). Cy Y3Y2Y1Y0 1111 Binary Adder X3X2X1X0 S3S₂S1S0 Co = Xo- You X₁ Y₁ X₂. Y2- X3 Уз FA FA C EDU FA cin + COUR FA cin S₂ S₁ ·$₂ .S₂ Cy

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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**Designing a Subtractor/Adder Using a 4-Bit Binary Adder** --- ### Task A: - **Objective:** Design a Subtractor using one 4-bit Binary Adder by adding appropriate gates. - **Description:** The goal is to utilize a 4-bit binary adder and add the necessary gates to convert it into a subtractor. The main component is the binary adder which takes two 4-bit binary numbers and a carry-in bit as input, producing a 4-bit sum and a carry-out bit as output. ### Diagram Explanation: 1. **Binary Adder Component:** - Inputs: Two sets of 4 bits (\(x_3 x_2 x_1 x_0\) and \(y_3 y_2 y_1 y_0\)) - Additional input: Carry-in (\(C_{\text{y}}\)) - Outputs: Four sum bits (\(S_3 S_2 S_1 S_0\)) and a carry-out (\(C_0\)) 2. **Design Schematic:** - The schematic shows logic gates used with the binary adder to perform subtraction. - XOR gates (denoted by a circle and a cross with two inputs) are placed before each input bit of the second number (\(y_0, y_1, y_2, y_3\)) to invert the bits for two’s complement subtraction. - A carry-in bit is set to 1 to facilitate the subtraction operation. --- ### Task A (continued): - **Objective:** Design a Subtractor/Adder using one 4-bits Binary Adder by adding appropriate gates. - **Description:** Extend the previous design to toggle between addition and subtraction using a control signal. ### Diagram Explanation: 1. **Additional Features:** - A control input (\(C\)) is added. - The XOR gates receive \(C\) as one input to control whether the operation is addition (\(C=0\)) or subtraction (\(C=1\)). - This control input effectively toggles the inversion of the second input number for subtraction or leaves it unchanged for addition. 2. **Overall Functionality:** - The diagram includes a series of full adders (FA), each having inputs for two bits, a carry-in, and outputs for a sum and a carry-out. - The input connections are adjusted to allow
Transcribed Image Text:**Designing a Subtractor/Adder Using a 4-Bit Binary Adder** --- ### Task A: - **Objective:** Design a Subtractor using one 4-bit Binary Adder by adding appropriate gates. - **Description:** The goal is to utilize a 4-bit binary adder and add the necessary gates to convert it into a subtractor. The main component is the binary adder which takes two 4-bit binary numbers and a carry-in bit as input, producing a 4-bit sum and a carry-out bit as output. ### Diagram Explanation: 1. **Binary Adder Component:** - Inputs: Two sets of 4 bits (\(x_3 x_2 x_1 x_0\) and \(y_3 y_2 y_1 y_0\)) - Additional input: Carry-in (\(C_{\text{y}}\)) - Outputs: Four sum bits (\(S_3 S_2 S_1 S_0\)) and a carry-out (\(C_0\)) 2. **Design Schematic:** - The schematic shows logic gates used with the binary adder to perform subtraction. - XOR gates (denoted by a circle and a cross with two inputs) are placed before each input bit of the second number (\(y_0, y_1, y_2, y_3\)) to invert the bits for two’s complement subtraction. - A carry-in bit is set to 1 to facilitate the subtraction operation. --- ### Task A (continued): - **Objective:** Design a Subtractor/Adder using one 4-bits Binary Adder by adding appropriate gates. - **Description:** Extend the previous design to toggle between addition and subtraction using a control signal. ### Diagram Explanation: 1. **Additional Features:** - A control input (\(C\)) is added. - The XOR gates receive \(C\) as one input to control whether the operation is addition (\(C=0\)) or subtraction (\(C=1\)). - This control input effectively toggles the inversion of the second input number for subtraction or leaves it unchanged for addition. 2. **Overall Functionality:** - The diagram includes a series of full adders (FA), each having inputs for two bits, a carry-in, and outputs for a sum and a carry-out. - The input connections are adjusted to allow
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