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Author: Admin | 2025-04-28
Digit is shift towards the left of the number. This is explained by the example as,Example, (AB12)16Place value of each digit in (AB12)16 is,= A×163 + B×162 + 1×161 + 2×160Read More,Types of Number SystemBinary FormulaDifference Between Decimal and Binary Number SystemsFacts About Hexadecimal NumbersHexadecimal is a number system with a base value of 16.Hexadecimal numbers use 16 symbols or digital values: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.A, B, C, D, E, and F represent 10, 11, 12, 13, 14, and 15 in single-bit form.If you see an "0x" as Prefix, it indicates the number is in Hexadecimal. For example, 0x3AThe position of each digit in a Hexadecimal number has a weight of 16 to the power of its position.Solved Examples on Hexadecimal Number SystemExample 1: Convert Hexadecimal 1A5 to DecimalSolution:Multiply First Digit (1) by 16 squared (256)1×162 = 256Multiply Second Digit (A, which is 10 in decimal) by 16 to the power of 1 (16)10×161 = 160Multiply Third Digit (5) by 16 to the power of 0 (1)5×160 = 5Adding the results,1A5 = 1×162 + A×161 + 5×160⇒ 1A5 = 1×162 + 10×161 + 5×160⇒ 1A5 = 256 + 160 + 5 = 421Decimal Equivalent of Hexadecimal number 1A5 is 421Example 2: Convert Decimal 315 to Hexadecimal.Solution:Divide Decimal Number by 16315÷16 = 19 with Remainder 11The remainder (11) is represented as B in hexadecimalRepeat the division with the quotient (19)19÷16 = 1 with Remainder of 3The remainder (3) is represented as 3 in hexadecimalHexadecimal Equivalent of Decimal Number 315 is 13BPractice Questions on Hexadecimal Number SystemProblem 1: Convert the hexadecimal number 2A to binary.Problem 2: Convert the binary number 110110 to hexadecimal.Problem 3: Add the hexadecimal numbers 1F and A3. Provide the result in hexadecimal.Problem 4: Subtract the hexadecimal number B6 from D9. Provide the result in hexadecimal.Problem 5: Multiply the hexadecimal number 7E by 3. Provide the result in hexadecimal.Hexadecimal Number System - FAQsWhat is a Hexadecimal Number System?The hexadecimal number system is a method of counting using 16 digits combining Numbers (0-9)Letters (A-F)What are 16 Digits of Hexadecimal Number System?The 16 digits of the hexadecimal number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and the letters A, B, C, D, E, F.How to write 16 in hexadecimal ?In hexadecimal number system 16 is written as 10. (16 = 1×161 + 0×160)What is the Use of Hexadecimal Number System?Hexadecimal is handy in computers for expressing binary data more easily. It's also used in colors on computers, making it simpler to show a wide range of shades.What is 20 Called in Hexadecimal?In hexadecimal, 16 is represented as 14.What is 8 in Hexadecimal Number System?8 in Hexadecimal Number System is also, called 8.How Many Digits are Used in the Hexadecimal Number System?The hexadecimal system uses sixteen distinct digits: 0-9 for values zero to nine, and the letters A-F for values ten to fifteen.Where are Hexadecimal Numbers Used by Programmers?Hexadecimal numbers are commonly used by programmers
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