Integer to Binary Octal and Hex

The Integer to Binary, Octal and Hex calculator accepts an integer value and returns the given integer converted to binary, octal and hex.

INSTRUCTIONS: Enter the following:

• (i) This is a base 10 integer

Binary, Octal and Hex Values:  The calculator returns the binary, octal and hex string equal to the value of the input integer.

The Math / Science

Binary numbers are comprised of zeros (0) and ones (1).  The position of the zero or one indicate the exponent of two added to the value, making binary a base 2 number system

The first value in a binary string is multiplied by 2⁰  (1)
The second value in a binary string is multiplied by 2¹ (2)
The third value in a binary string is multiplied by 2² (4)
The forth value in a binary string is multiplied by 2³ (8), and so on.

In this way, the binary number of 1011 is:

            1 • 2⁰ + 1 • 2¹ + 0 • 2² + 1 • 2³ = 11 in base 10 numbers which we commonly use.

Octal numbers are comprised of digits from zero to 7.  The position of the digit indicates the exponent of eight added to the value, making Octal a base 8 number system

The first value in an octal number is multiplied by 8⁰  (1)
The second value in an octal number is multiplied by 8¹ (8)
The third value in an octal number is multiplied by 8² (64)
The forth value in an octal number is multiplied by 8³ (512), and so on.

In this way, the Octal number of 6017 is:

            7• 8⁰ + 1• 8¹ + 0 • 8² + 6 • 2³ = 3087 in base 10 numbers which we commonly use.

Hexadecimal numbers are comprised of digits from zero to 9, and A, B, C, D, E, F.  The position of the digit indicates the exponent of 16 added to the value, making Hex a base 16 number system

The first value in an hex number is multiplied by 16⁰  (1)
The second value in an hex number is multiplied by 16¹ (16)
The third value in an hex number is multiplied by 16² (256)
The forth value in an hex number is multiplied by 16³ (4,096), and so on.  The letter A, B, C, D, E, F represent the base 10 values of 10, 11, 12, 13, 14 and 15 respectively

In this way, the Octal number of F0A7 is:

            7• 16⁰ + 10• 16¹ + 0 • 16² + 15 • 16³ = 61607 in base 10 numbers which we commonly use.