507 in Binary

Decimal 507 in binary conversion provides the detailed information on what is the binary equivalent of (507)10, and the step-by-step work for how to convert the decimal (base-10) number 507 to its binary (base-2) equivalent.

(507)10 in binary is equal to:
(507)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 507, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

507 MOD-2	507 / 2 = 253	Remainder is 1 → LSB
253 MOD-2	253 / 2 = 126	Remainder is 1
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 507.
507₁₀ = 111111011₂

Hence,
507 in binary is 111111011

where,
507₁₀ is the given decimal number,
10 in 507₁₀ represents the base-10 or decimal number system,
111111011₂ is the binary equivalent of the decimal 41,
2 in 111111011₂ represents the base-2 or binary number system.

Important Notes: (507)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 507 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 507 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 507 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 507 should be written from MSB to LSB to form the binary equivalent for the given decimal number (507)10.