297 in Binary

Decimal 297 in binary conversion provides the detailed information on what is the binary equivalent of (297)10, and the step-by-step work for how to convert the decimal (base-10) number 297 to its binary (base-2) equivalent.

(297)10 in binary is equal to:
(297)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 297, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

297 MOD-2	297 / 2 = 148	Remainder is 1 → LSB
148 MOD-2	148 / 2 = 74	Remainder is 0
74 MOD-2	74 / 2 = 37	Remainder is 0
37 MOD-2	37 / 2 = 18	Remainder is 1
18 MOD-2	18 / 2 = 9	Remainder is 0
9 MOD-2	9 / 2 = 4	Remainder is 1
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 297.
297₁₀ = 100101001₂

Hence,
297 in binary is 100101001

where,
297₁₀ is the given decimal number,
10 in 297₁₀ represents the base-10 or decimal number system,
100101001₂ is the binary equivalent of the decimal 41,
2 in 100101001₂ represents the base-2 or binary number system.

Important Notes: (297)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 297 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 297 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 297 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 297 should be written from MSB to LSB to form the binary equivalent for the given decimal number (297)10.