Understanding Number Systems in Electronics

50

5,000

5

500

Uses only 0 and 1

Base 2

Uses digits 0-9

Used in digital circuits

Octal

Decimal

Hexadecimal

Binary

31

29

25

23

Used primarily in decimal calculations

Base 8

Only uses 0 and 1

Uses digits 0-9 and letters A-F

Count the digits

Multiply by 2

Add the digits

Sum the powers of 2

Multiply by 2

Subtract 1

Divide by 2

Add 1

Convert each digit to decimal

Group binary digits into sets of four

Group binary digits into sets of three

Group binary digits into sets of two

Convert each digit to its 8-bit binary equivalent

Convert each digit to its 4-bit binary equivalent

Convert each digit to its decimal equivalent

Convert each digit to its 2-bit binary equivalent

Decimal

Hexadecimal

Octal

Binary