Decimal to Binary Conversion

Decimal to Binary

• Divide the decimal number by 2 repeatedly, keeping track of remainders, until the quotient becomes zero.
• Write the remainders in reverse order to obtain the binary number.

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 51₁₀ to binary.

	Quotient	Remainder
51/2	25	1	(Least Significant Bit)
25/2	12	1
12/2	6	0
6/2	3	0
3/2	1	1
1/2	0	1	(Most Significant Bit)

Binary equivalent of decimal 51₁₀ is 110011₂

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

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List of topics: Microcomputer

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