# 321 in Binary

Decimal 321 in binary conversion provides the detailed information on what is the binary equivalent of (321)10, and the step-by-step work for how to convert the decimal (base-10) number 321 to its binary (base-2) equivalent.

(321)10 in binary is equal to:
(321)10 = (?)2
Perform successive MOD-2 operation for decimal 321, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

 321 MOD-2 321 / 2 = 160 Remainder is 1 → LSB 160 MOD-2 160 / 2 = 80 Remainder is 0 80 MOD-2 80 / 2 = 40 Remainder is 0 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 321.
32110 = 1010000012

Hence,
321 in binary is 101000001

where,
32110 is the given decimal number,
10 in 32110 represents the base-10 or decimal number system,
1010000012 is the binary equivalent of the decimal 41,
2 in 1010000012 represents the base-2 or binary number system.

Important Notes: (321)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 321 into a binary number.
1. The initial or first remainder while performing MOD-2 operation for 321 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 321 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 321 should be written from MSB to LSB to form the binary equivalent for the given decimal number (321)10.

For decimal values other than 321, use this below tool: 