Soru
ii. 1111,10101,0100,11102 to hexadecimal
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Profesyonel · 6 yıl öğretmeniUzman doğrulaması
Cevap
To convert the binary number \(1111,10101,0100,11102\) to hexadecimal, we first need to ensure that the binary number is grouped correctly for conversion. Hexadecimal numbers are based on 16, which corresponds to 4 bits in binary. Therefore, we should group the binary digits into sets of four, starting from the right. If necessary, add leading zeros to complete the last group.<br /><br />Given binary: \(1111,10101,0100,11102\)<br /><br />First, remove the comma for clarity: \(11111010101001110_2\)<br /><br />Now, let's group the binary digits into sets of four from the right:<br /><br />- Original: \(1111,10101,0100,1110_2\)<br />- Grouped: \(0001 \, 1111 \, 0101 \, 0100 \, 1110_2\)<br /><br />Next, convert each 4-bit binary group to its hexadecimal equivalent:<br /><br />1. \(0001_2 = 1_{16}\)<br />2. \(1111_2 = F_{16}\)<br />3. \(0101_2 = 5_{16}\)<br />4. \(0100_2 = 4_{16}\)<br />5. \(1110_2 = E_{16}\)<br /><br />Combine these hexadecimal digits to get the final result:<br /><br />The hexadecimal representation is \(1F54E_{16}\).
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