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5) Construct a BCD to EXCESS-3 code converter using a 4-bit adder,Recall the Excess-3 code of BCD is obtained by addition of 3.

5) Construct a BCD to EXCESS-3 code converter using a 4-bit adder,Recall the Excess-3 code of BCD is obtained by addition of 3.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**BCD to EXCESS-3 Code Converter with 4-bit Adder** 1. **Construct a BCD to EXCESS-3 code converter using a 4-bit adder. Recall the Excess-3 code of BCD is obtained by addition of 3.** **To construct a BCD to EXCESS-3 converter using a 4-bit adder:** - **Step 1:** Understand that BCD (Binary Coded Decimal) represents decimal numbers in binary form. - **Step 2:** Excess-3 code is a non-weighted code used to express decimal numbers. It is derived by adding 3 to each decimal digit and then converting the sum to its binary equivalent. - **Step 3:** Use a 4-bit binary adder to add the binary equivalent of 3 (which is `0011`) to a given 4-bit BCD number. - **Diagram:** Imagine a 4-bit adder with two sets of inputs. Connect the first set of inputs to the 4-bit BCD number and the second set of inputs to the 4-bit binary representation of 3 (`0011`). The output will be the Excess-3 code. Example: - For a BCD input of `0100` (which represents the decimal number 4), adding `0011` to it using the adder will produce the Excess-3 code `0111`. 2. **What is the change in the previous converter such that it functions for the conversion of an Excess-3 code to BCD?** **To convert Excess-3 code back to BCD:** - **Step 1:** Understand that to reverse Excess-3 coding, we need to subtract 3 from the Excess-3 coded number. - **Step 2:** Use a 4-bit binary subtractor. Connect the Excess-3 code to the first set of inputs of the 4-bit subtractor and the binary equivalent of 3 (`0011`) to the second set of inputs. - **Step 3:** The output of the subtractor will give the BCD code. Example: - For an Excess-3 input of `0111` (which represents the Excess-3 code for the decimal number 4), subtracting `0011` from it using the subtractor will produce the original BCD code `0100`. **Summary:** - Converting BCD to
Transcribed Image Text:**BCD to EXCESS-3 Code Converter with 4-bit Adder** 1. **Construct a BCD to EXCESS-3 code converter using a 4-bit adder. Recall the Excess-3 code of BCD is obtained by addition of 3.** **To construct a BCD to EXCESS-3 converter using a 4-bit adder:** - **Step 1:** Understand that BCD (Binary Coded Decimal) represents decimal numbers in binary form. - **Step 2:** Excess-3 code is a non-weighted code used to express decimal numbers. It is derived by adding 3 to each decimal digit and then converting the sum to its binary equivalent. - **Step 3:** Use a 4-bit binary adder to add the binary equivalent of 3 (which is `0011`) to a given 4-bit BCD number. - **Diagram:** Imagine a 4-bit adder with two sets of inputs. Connect the first set of inputs to the 4-bit BCD number and the second set of inputs to the 4-bit binary representation of 3 (`0011`). The output will be the Excess-3 code. Example: - For a BCD input of `0100` (which represents the decimal number 4), adding `0011` to it using the adder will produce the Excess-3 code `0111`. 2. **What is the change in the previous converter such that it functions for the conversion of an Excess-3 code to BCD?** **To convert Excess-3 code back to BCD:** - **Step 1:** Understand that to reverse Excess-3 coding, we need to subtract 3 from the Excess-3 coded number. - **Step 2:** Use a 4-bit binary subtractor. Connect the Excess-3 code to the first set of inputs of the 4-bit subtractor and the binary equivalent of 3 (`0011`) to the second set of inputs. - **Step 3:** The output of the subtractor will give the BCD code. Example: - For an Excess-3 input of `0111` (which represents the Excess-3 code for the decimal number 4), subtracting `0011` from it using the subtractor will produce the original BCD code `0100`. **Summary:** - Converting BCD to
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