Convert Binary to Hexadecimal and Hexadecimal to Binary
How to convert binary to hexadecimal?
Given that 11011001111 in binary is 1DAC in hexadecimal, explain the process of converting binary numbers to hexadecimal.
What is the process of converting hexadecimal to binary?
Explain the process of converting 3DEFC516 and 5BDA7.62B1 in hexadecimal to binary.
Convert Binary to Hexadecimal:
Binary number 11011001111 is divided into groups of four bits: 1 1011 0011 11. Each group is then converted to its equivalent hexadecimal digit, resulting in 1DAC in hexadecimal.
Convert Hexadecimal to Binary:
For 3DEFC516, each hexadecimal digit is replaced by its four-bit binary representation: 0011 1101 1110 1111 1100 0101 0001 0110 in binary. For 5BDA7.62B1, the conversion yields 0101 1011 1101 1010 0111.011000101101001 in binary, with the decimal point represented as the binary point.
Converting between binary and hexadecimal numbers involves a specific process to represent numbers in different numeral systems. In digital systems and computer programming, understanding these conversions is essential for working with data effectively.
Converting Binary to Hexadecimal:
When converting from binary to hexadecimal, remember to divide the binary number into groups of four bits from the rightmost side. Each group is then converted into its hexadecimal equivalent. For example, in 11011001111, we divide it into 1 1011 0011 11, and this corresponds to 1DAC in hexadecimal.
Converting Hexadecimal to Binary:
Converting from hexadecimal to binary involves replacing each hexadecimal digit with its four-bit binary representation. For instance:
- 3DEFC516 in hexadecimal becomes 0011 1101 1110 1111 1100 0101 0001 0110 in binary.
- 5BDA7.62B1 in hexadecimal becomes 0101 1011 1101 1010 0111.011000101101001 in binary, with the decimal point handled accordingly.
By mastering these conversions, you can seamlessly switch between binary and hexadecimal representations, catering to different requirements in digital systems and programming operations.