501 in Binary

Decimal 501 in binary conversion provides the detailed information on what is the binary equivalent of (501)10, and the step-by-step work for how to convert the decimal (base-10) number 501 to its binary (base-2) equivalent.

(501)10 in binary is equal to:
(501)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 501, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

501 MOD-2	501 / 2 = 250	Remainder is 1 → LSB
250 MOD-2	250 / 2 = 125	Remainder is 0
125 MOD-2	125 / 2 = 62	Remainder is 1
62 MOD-2	62 / 2 = 31	Remainder is 0
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 501.
501₁₀ = 111110101₂

Hence,
501 in binary is 111110101

where,
501₁₀ is the given decimal number,
10 in 501₁₀ represents the base-10 or decimal number system,
111110101₂ is the binary equivalent of the decimal 41,
2 in 111110101₂ represents the base-2 or binary number system.

Important Notes: (501)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 501 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 501 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 501 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 501 should be written from MSB to LSB to form the binary equivalent for the given decimal number (501)10.