Ch. 4.1 Sound Byte:Where does Binary Show Up?

Objective 2: Explain the differences between decimal, binary, and hexadecimal notation.

Decimal​ uses 10 digits: 0 1 2 3 4 5 6 7 8 9 Hexadecimal​ uses 16 digits: 0 1 2 3 4 5 6 7 8 9 A B C D E F Binary​ uses 2 digits: 0 1​​​

If all three values for an RGB color are fully saturated at 255, the color produced will be:

White

All RGB colors have the following components:

red, green, blue

The binary number system uses _________ digits.

2

A 16-digit binary pattern converts to a ____ digit hexadecimal value.

4

What digits does the hexadecimal number system use?

0 1 2 3 4 5 6 7 8 9 A B C D E F

Binary Digits Converted to Hex

A 16-digit binary pattern converts to a 4-digit hexadecimal value Example: 1110 0011 1000 1011 converts to E38B in hex Each hex digit represents a 4-bit pattern E = 1110 3 = 0011

Objective 3: Explain how binary notation converts to hexadecimal.

A 16-digit binary pattern converts to a 4-digit hexadecimal value Example: 1110 0011 1000 1011 converts to E38B in hex Each hex digit represents a 4-bit pattern: ​​E = 1110 3 = 0011 ​8 = 1000 B = 1011​​

Objective 1: Explain the nature of the binary number system.​

Binary is a number system comprised of two digits, 0 and 1, used by computers to represent all other numbers and characters. Binary is also known as base 2.

Objective 4: Explain how colors are represented using hexadecimal notation.​

Colors for web pages are represented as hex codes defining the amount of red, green, and blue (RGB) needed to produce a specific color. ​Example: The color​ violet: Red/green/blue triplet value: 153, 51, 255 Hex code for that color: 9933FF​

Where Does Hex Show Up?

Colors for web pages are represented as hex codes​

Windows Calculator

Converts between -Decimal (base 10) -Binary (base 2) -Hexadecimal (base 16)

How Values Are Represented by Each System​

Decimal 0 1 2 3 4 5 6 7 8 9 Hexadecimal 0 1 2 3 4 5 6 7 8 9 A B C D E F Binary 0 1