324 in Binary

Decimal 324 in binary conversion provides the detailed information on what is the binary equivalent of (324)10, and the step-by-step work for how to convert the decimal (base-10) number 324 to its binary (base-2) equivalent.

(324)10 in binary is equal to:
(324)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 324, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

324 MOD-2	324 / 2 = 162	Remainder is 0 → LSB
162 MOD-2	162 / 2 = 81	Remainder is 0
81 MOD-2	81 / 2 = 40	Remainder is 1
40 MOD-2	40 / 2 = 20	Remainder is 0
20 MOD-2	20 / 2 = 10	Remainder is 0
10 MOD-2	10 / 2 = 5	Remainder is 0
5 MOD-2	5 / 2 = 2	Remainder is 1
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 324.
324₁₀ = 101000100₂

Hence,
324 in binary is 101000100

where,
324₁₀ is the given decimal number,
10 in 324₁₀ represents the base-10 or decimal number system,
101000100₂ is the binary equivalent of the decimal 41,
2 in 101000100₂ represents the base-2 or binary number system.

Important Notes: (324)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 324 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 324 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 324 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 324 should be written from MSB to LSB to form the binary equivalent for the given decimal number (324)10.