Year 11 Exam > Year 11 Notes > Computer for GCSE/IGCSE > Converting Between Binary & Denary
Converting Between Binary & Denary | Computer for GCSE/IGCSE - Year 11 PDF Download
Converting Denary to Binary Walkthrough
- List the binary representations of the powers of 2 from right to left, beginning with 20 (1), 21 (2), 22 (4), 23 (8), and so forth, continuing until you reach 128, adhering to the 8-bit format.
- Begin with the leftmost column, and place a 1 if the corresponding power of 2 is equal to or less than the number being converted, such as 171 in this case. Otherwise, enter a 0.
- Verify your calculations by summing up all the column values that have a 1 below them (128 + 32 + 8 + 2 + 1 = 171).
- Then, read the binary digits from left to right to obtain the binary representation of 171: 10101011.
Converting Binary to Denary Walkthrough
- Record the values of the powers of 2 in increasing order, beginning with 20 (1), 21 (2), 22 (4), 23 (8), and continuing until 27 (128), ensuring the representation is in 8 bits.
- Beginning from the leftmost column, if the corresponding power of 2 is present, write down 1; otherwise, write down 0.
- Sum the values of the columns where the binary digit is 1.
64 + 32 + 4 + 2 = 102
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FAQs on Converting Between Binary & Denary - Computer for GCSE/IGCSE - Year 11
| 1. How do you convert denary to binary? |  |
Ans. To convert denary to binary, you can use the method of dividing the denary number by 2 and writing down the remainder each time until the quotient becomes 0. Then, read the remainders from bottom to top to get the binary equivalent.
| 2. Can you convert any denary number to binary? | |
Ans. Yes, you can convert any denary number to binary using the method of dividing by 2 and noting the remainders until the quotient is 0. This process works for all denary numbers.
| 3. What is the significance of converting between binary and denary? | |
Ans. Converting between binary and denary is important in computer science as it helps understand how data is represented in computers. It is crucial for programming and understanding how binary operations work.
| 4. Is there a specific formula for converting denary to binary? | |
Ans. There is no specific formula for converting denary to binary, but the method involves dividing the denary number by 2 and noting the remainders. This process is repeated until the quotient is 0.
| 5. How can I practice converting between binary and denary effectively? | |
Ans. You can practice converting between binary and denary by solving sample problems, using online tools, and creating your own conversion exercises. Practice is key to mastering this skill.
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Nov 22, 2024 Last updated |
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