Decimal to Hexadecimal Conversion

Decimal to Hexadecimal

• Convert decimal to binary first and then convert binary to hex.

Convert 25₁₀ to binary.

	Quotient	Remainder
25/2	12	1	(Least Significant Bit)
12/2	6	0
6/2	3	0
3/2	1	1
1/2	0	1	(Most Significant Bit)

Binary equivalent of decimal 25₁₀ is 11001₂

Convert 11001₂ to hex.

Group bits		1	1001
Replace with its hex equivalent		1	9

25₁₀ = 19₁₆

• Convert directly from decimal to hex by repeated division , keeping track of remainders.

Convert 25₁₀ to hex.

	Quotient	Remainder
25/16	1	9

Hex equivalent of decimal 25₁₀ is 19₁₆

Convert 250₁₀ to hex.

	Quotient	Remainder
250/16	15 = F	10 = A

Hex equivalent of decimal 250₁₀ is FA₁₆

Convert 520₁₀ to hex.

	Quotient	Remainder
520/16	32	8
32/16	2	0

Hex equivalent of decimal 520₁₀ is 208₁₆

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Related topics:
Decimal to Binary Conversion   |   Binary to Decimal Conversion   |   Binary to Hexadecimal Conversion   |   Hexadecimal to Binary Conversion   |   Hexadecimal to Decimal Conversion

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List of topics: Microcomputer

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