1009 in Binary

Decimal 1009 in binary form conversion provides the detailed information on what is the binary equivalent of (1009)10, and the step-by-step solution using the most simple method for how to convert the decimal (base-10) number 1009 to its binary (base-2) equivalent.

(1009)10 in binary is equal to:
(1009)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 1009, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

1009 MOD-2	1009 / 2 = 504	Remainder is 1 → LSB
504 MOD-2	504 / 2 = 252	Remainder is 0
252 MOD-2	252 / 2 = 126	Remainder is 0
126 MOD-2	126 / 2 = 63	Remainder is 0
63 MOD-2	63 / 2 = 31	Remainder is 1
31 MOD-2	31 / 2 = 15	Remainder is 1
15 MOD-2	15 / 2 = 7	Remainder is 1
7 MOD-2	7 / 2 = 3	Remainder is 1
3 MOD-2	3 / 2 = 1	Remainder is 1
1 MOD-2	1 / 2 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the binary equivalent of 1009.
1009₁₀ = 1111110001₂

Hence,
1009 in binary is 1111110001

where,
1009₁₀ is the given decimal number,
10 in 1009₁₀ represents the base-10 or decimal number system,
1111110001₂ is the binary equivalent of the decimal 41,
2 in 1111110001₂ represents the base-2 or binary number system.

Important Notes: (1009)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 1009 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 1009 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 1009 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 1009 should be written from MSB to LSB to form the binary equivalent for the given decimal number (1009)10.