Книга: Advanced PIC Microcontroller Projects in C

1.5.2 Binary Number System

1.5.2 Binary Number System

The binary number system consists of two numbers: 0 and 1. A subscript 2 indicates that a number is in binary format. For example, the binary number 1011 would be 10112. In general, a binary number is represented as follows:

an ? 2n + a_n–1 ? 2^n–1 + a_n–2 ? 2^n–2 + ……… + a₀ ? 2⁰

For example, binary number 11102 can be shown as:

1110₂ = 1 ? 2³ + 1 ? 2² + 1 ? 2¹ + 0 ? 2⁰

Similarly, binary number 100011102 can be shown as:

10001110₂ = 1 ? 2⁷ + 0 ? 2⁶ + 0 ? 2⁵ + 0 ? 2⁴ + 1 ? 2³ + 1 ? 2² + 1 ? 2¹ + 0 ? 2⁰

Оглавление книги