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ii. 1111,10101,0100,11102 to hexadecimal

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ii. 1111,10101,0100,11102 to hexadecimal

ii. 1111,10101,0100,11102 to hexadecimal

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Profesyonel · 6 yıl öğretmeni
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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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