771 in Binary

Decimal 771 in binary conversion provides the detailed information on what is the binary equivalent of (771)10, and the step-by-step work for how to convert the decimal (base-10) number 771 to its binary (base-2) equivalent.

(771)10 in binary is equal to:
(771)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 771, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

771 MOD-2	771 / 2 = 385	Remainder is 1 → LSB
385 MOD-2	385 / 2 = 192	Remainder is 1
192 MOD-2	192 / 2 = 96	Remainder is 0
96 MOD-2	96 / 2 = 48	Remainder is 0
48 MOD-2	48 / 2 = 24	Remainder is 0
24 MOD-2	24 / 2 = 12	Remainder is 0
12 MOD-2	12 / 2 = 6	Remainder is 0
6 MOD-2	6 / 2 = 3	Remainder is 0
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 771.
771₁₀ = 1100000011₂

Hence,
771 in binary is 1100000011

where,
771₁₀ is the given decimal number,
10 in 771₁₀ represents the base-10 or decimal number system,
1100000011₂ is the binary equivalent of the decimal 41,
2 in 1100000011₂ represents the base-2 or binary number system.

Important Notes: (771)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 771 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 771 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 771 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 771 should be written from MSB to LSB to form the binary equivalent for the given decimal number (771)10.