Hexadecimal To Decimal Conversion
Integer part: We multiply each digit with its place value and add the products.
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-31.png?w=330)
(F3)16 = (243)10
(F3)16 = (15 × 161) + (3 × 160)
= 240 + 3
= (243)10
Fractional part: We multiply each digit with its place value and add the products.
(3A.26)16
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-32.png?w=400)
(3A.26)16 = (3 × 161) + (10 × 160) + (2 × 16-1) + (6 × 16-2)
= 4848 + 1010 + 216162 + 62562566
= (58.1484375)10
Hex To Binary Converter
Integer part: To convert a hexadecimal number to binary, we write 4 bit binary equivalent of each hexadecimal digit in the same order.
Example: (A46)2
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-33.png?w=273)
(A46)2 = (101001000110)8
Fraction part: To convert a hexadecimal number to binary, we write 4 bit binary equivalent of each hexadecimal digit in the same order.
Example: (C52.1A)2
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-34.png?w=495)
(C52.1A)2 = (110001010010.00011010)8
Hexadecimal to Octal
Integer part:
Example:
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-35.png?w=205)
(3A)16 = (00111010)2
In the second step, we convert the binary number to octal.
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-36.png?w=310)
(00111010)2 = (72)8
Fraction part:
Example: (2A.9)16
In the first step, we convert the hexadecimal number to binary.
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-37.png?w=320)
In the second step, we convert the binary number to octal.
![](https://bscbcanotes.wordpress.com/wp-content/uploads/2024/04/image-38.png?w=482)
(00101010.1001)2 = (52.44)8