277 in Binary

Decimal 277 in binary conversion provides the detailed information on what is the binary equivalent of (277)10, and the step-by-step work for how to convert the decimal (base-10) number 277 to its binary (base-2) equivalent.

(277)10 in binary is equal to:
(277)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 277, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

277 MOD-2	277 / 2 = 138	Remainder is 1 → LSB
138 MOD-2	138 / 2 = 69	Remainder is 0
69 MOD-2	69 / 2 = 34	Remainder is 1
34 MOD-2	34 / 2 = 17	Remainder is 0
17 MOD-2	17 / 2 = 8	Remainder is 1
8 MOD-2	8 / 2 = 4	Remainder is 0
4 MOD-2	4 / 2 = 2	Remainder is 0
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 277.
277₁₀ = 100010101₂

Hence,
277 in binary is 100010101

where,
277₁₀ is the given decimal number,
10 in 277₁₀ represents the base-10 or decimal number system,
100010101₂ is the binary equivalent of the decimal 41,
2 in 100010101₂ represents the base-2 or binary number system.

Important Notes: (277)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 277 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 277 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 277 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 277 should be written from MSB to LSB to form the binary equivalent for the given decimal number (277)10.