9004 in Binary

Decimal 9004 in binary form conversion provides the detailed information on what is the binary equivalent of (9004)10, and the step-by-step solution using the most simple method for how to convert the decimal (base-10) number 9004 to its binary (base-2) equivalent.

(9004)10 in binary is equal to:
(9004)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 9004, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

9004 MOD-2	9004 / 2 = 4502	Remainder is 0 → LSB
4502 MOD-2	4502 / 2 = 2251	Remainder is 0
2251 MOD-2	2251 / 2 = 1125	Remainder is 1
1125 MOD-2	1125 / 2 = 562	Remainder is 1
562 MOD-2	562 / 2 = 281	Remainder is 0
281 MOD-2	281 / 2 = 140	Remainder is 1
140 MOD-2	140 / 2 = 70	Remainder is 0
70 MOD-2	70 / 2 = 35	Remainder is 0
35 MOD-2	35 / 2 = 17	Remainder is 1
17 MOD-2	17 / 2 = 8	Remainder is 1
8 MOD-2	8 / 2 = 4	Remainder is 0
4 MOD-2	4 / 2 = 2	Remainder is 0
2 MOD-2	2 / 2 = 1	Remainder is 0
1 MOD-2	1 / 2 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the binary equivalent of 9004.
9004₁₀ = 10001100101100₂

Hence,
9004 in binary is 10001100101100

where,
9004₁₀ is the given decimal number,
10 in 9004₁₀ represents the base-10 or decimal number system,
10001100101100₂ is the binary equivalent of the decimal 41,
2 in 10001100101100₂ represents the base-2 or binary number system.

Important Notes: (9004)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 9004 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 9004 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 9004 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 9004 should be written from MSB to LSB to form the binary equivalent for the given decimal number (9004)10.