**Design a Code Converter for Negative 2's Complement Representation**This exercise involves designing a code converter to convert an unsigned number \( a \) into its negative 2's complement representation, \(-a\). The circuit includes two inputs: \( a_1 \) and \( a_0 \), and three outputs: \( b_1 \), \( b_0 \) (which represent \(-a\)), and **valid**. The **valid** output is 1 if \(-a\) can be represented in 2's complement, and 0 otherwise.### Tasks:1. **Truth Table Creation**: Write the truth table for the code converter.2. **SOP Expression**: Derive the simplest Sum of Products (SOP) expressions for the functions \( b_1 \), \( b_0 \), and **valid**.

Answer: This is combinational circuit. I have answered in handwritten format.

Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.

Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

**Design a Code Converter for Negative 2's Complement Representation**

This exercise involves designing a code converter to convert an unsigned number \( a \) into its negative 2's complement representation, \(-a\). The circuit includes two inputs: \( a_1 \) and \( a_0 \), and three outputs: \( b_1 \), \( b_0 \) (which represent \(-a\)), and **valid**. The **valid** output is 1 if \(-a\) can be represented in 2's complement, and 0 otherwise.

### Tasks:

1. **Truth Table Creation**: Write the truth table for the code converter.
2. **SOP Expression**: Derive the simplest Sum of Products (SOP) expressions for the functions \( b_1 \), \( b_0 \), and **valid**.

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