Binary to Decimal, Hexadecimal and ASCII Converter

Binary - to Decimal, Hexadecimal and ASCII Converter

Click on the binary number buttons to toggle between 0 and 1 for each bit:

A binary number is a number expressed in the binary numeral system or base 2 numeral system. A binary number can express any number by using only two digits: 0 and 1. The calculator above converts binary numbers with 1 to 8 bits (one byte) to the decimal or hexadecimal equivalents.

• data types

The default 8 bit (one byte) binary number 10100100 is calculated to the decimal equivalent:

10100100

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

= 128 + 0 + 32 + 0 + 0 + 4 + 0 + 0

= 164

8 bits or byte can be used to represent an ASCII (American Standard Code for Information Interchange) alphabetic character - like the binary number 01000001, or decimal number 65, representing A.

Decimal - to Binary, Hexadecimal and ASCII Converter

The standard numeral system is called decimal with base 10 and uses 10 symbols: 0,1,2,3,4,5,6,7,8,9.

Hexadecimal - to Binary, Decimal and ASCII Converter

The hexadecimal (also base 16, or hex) is a positional numeral system with base 16.

The hexadecimal system use sixteen distinct symbols with 0–9 representing the values zero to nine and A, B, C, D, E, F (or a, b, c, d, e, f) representing the values ten to fifteen.

The default hexadecimal number  a4 from the calculator above can be converted to its decimal equivalent:

a4

= a₁₆ 16¹ + 4₁₆ 16⁰

= 10 16¹ + 4 16⁰ 

= 160 + 4

= 164

The hexadecimal number a4 from the calculator above can be converted to its decimal equivalent:

a4b3

= a₁₆ 16³ + 4₁₆ 16²+ b₁₆ 16¹ + 3₁₆ 16⁰

= 10 16³ + 4 16² + 11 16¹ + 3 16⁰ 

=40960 + 1024 + 176 + 3

= 42163

Hexadecimal vs. Decimal and Binary Numbers

For full table - rotate the screen!

Each hexadecimal digit represents four binary bits - a nibble. Four digital bits can represent up to 16 different values. Two nibbles with 8 bits is a byte. Computers use mostly bytes or multiplies of bytes (16, 32, 64 .. bits) in their operations.

Binary representation of the hexadecimal number

a4

= 1010 0100

Binary representation of the hexadecimal number

a4b3

= 1010 0100 1011 0011