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Converting Between Hexadecimal & Binary | Computer for GCSE/IGCSE - Year 11 PDF Download

Converting Binary to Hexadecimal Walkthrough

  • In the process of converting binary to hexadecimal, it is essential to group binary digits into sets of four, starting from the rightmost digit. If there are insufficient digits to form a group of four, leading zeros should be added to complete the group. For instance, consider the binary sequence 0110 1110.
  • To determine the value of each nibble, column headings need to be included in the calculation. 

Converting Between Hexadecimal & Binary | Computer for GCSE/IGCSE - Year 11

  • When converting binary numbers to hexadecimal, each group of 4 bits is replaced by its equivalent hexadecimal value. For example, the binary number 01101110 is converted to 6E in hexadecimal.
  • Express the outcome in hexadecimal form: 6E

Converting Hexadecimal to Binary Walkthrough

  • Transforming a hexadecimal number such as A2 into binary involves representing each hex digit as a 4-bit binary value.
  • A, equivalent to 10 in decimal notation, serves as a hexadecimal digit.

Converting Between Hexadecimal & Binary | Computer for GCSE/IGCSE - Year 11

  • Combining all the binary values results in the sequence: 10100010.

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FAQs on Converting Between Hexadecimal & Binary - Computer for GCSE/IGCSE - Year 11

1. How do you convert hexadecimal to binary?
Ans. To convert hexadecimal to binary, you can simply convert each hexadecimal digit to its 4-bit binary equivalent. For example, the hexadecimal number 2F would be converted to binary as 0010 1111.
2. Can you convert binary to hexadecimal?
Ans. Yes, you can convert binary to hexadecimal by grouping the binary digits into sets of four, starting from the right, and then converting each group to its hexadecimal equivalent. For example, the binary number 11011010 would be converted to hexadecimal as DA.
3. Why is it useful to be able to convert between hexadecimal and binary?
Ans. Converting between hexadecimal and binary is useful in computer science and digital electronics because it allows for easier representation and manipulation of data. Hexadecimal is a more compact representation than binary, making it easier for humans to read and work with large numbers.
4. What are some real-world applications of converting between hexadecimal and binary?
Ans. Real-world applications of converting between hexadecimal and binary include programming, networking, and data storage. In programming, hexadecimal is often used to represent memory addresses and data values. In networking, IP addresses are commonly represented in hexadecimal. In data storage, file sizes and memory allocations are often represented in hexadecimal.
5. Are there any shortcuts or tricks to quickly convert between hexadecimal and binary?
Ans. One shortcut for converting between hexadecimal and binary is to memorize the hexadecimal-to-binary conversion table, which can help speed up the conversion process. Additionally, practicing converting numbers between the two systems can help improve speed and accuracy.
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