Math Problem Statement

The computer can tell whether an integer in memory is positive or negative by looking at the first bit. If the first bit is 0, the number is , if the first bit is 1, the number is

Solution

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Math Problem Analysis

Mathematical Concepts

Binary Numbers
Two's Complement
Signed Integers

Formulas

Two's complement formula for negative numbers: (-x) = NOT(x) + 1

Theorems

Two's Complement Representation Theorem

Suitable Grade Level

Grades 9-12