Relation Between Binary and Hex in C
In C, binary numbers are represented using the prefix “0b” and hexadecimal numbers are represented using the prefix “0x”. While these two numbering systems may seem quite different, they are actually closely related.
Binary and hexadecimal are both used to represent numbers in a compact form, but they work in different ways. A binary number is made up of only two digits (0 and 1) and represents a power of 2. A hexadecimal number, on the other hand, is made up of 16 digits (0-9 and A-F) and represents a power of 16.
The relationship between binary and hexadecimal comes from the fact that they both use a base that is a power of 2. Because of this, it is possible to convert a binary number to a hexadecimal number and vice versa.
To convert a binary number to a hexadecimal number, we can group the binary digits into groups of four (starting from the right side), and then convert each group to its hexadecimal equivalent.
For example, the binary number 11001101101 can be grouped as 1100 1101 101 which can be convert to hex equivalent c d 5 The equivalent hexadecimal number would be 0xCD5
To convert a hexadecimal number to a binary number, we can convert each hexadecimal digit to its binary equivalent and concatenate the resulting binary digits.
For example, the hexadecimal number 0xCD5 can be converted to binary number as C = 1100 D = 1101 5 = 101 The equivalent binary number would be 11001101101
C provides some built in functions like strtol()
or strtoul()
to convert string representation of numbers to integers, where you can specify the base, which helps converting number from one system to another. And we can use the format specifiers in printf and scanf family of functions to print and read numbers in different number systems.
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