Answered: Solve this question: Using Horner's…

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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Using Horner's scheme, represent in decimal (evaluate the decimal value of) the 2's complement number 10011010.

Expert Solution

Horner's scheme, represent in decimal of the 2's complement number

To represent a 2's complement number in decimal using Horner's scheme, you can use the following formula:

decimal = -(2^(n-1)) + b_{n-1} * 2^{n-2} + b_{n-2} * 2^{n-3} + ... + b_2 * 2^1 + b_1 * 2^0

- Where n is the number of bits in the binary representation

- b_i is the value of each bit.

The first bit (b_n) is treated as the sign bit.
If the sign bit is 0, the number is positive and the formula is evaluated as normal.
If the sign bit is 1, the number is negative and the formula is evaluated with a negative sign.

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