317 in Binary

Decimal 317 in binary conversion provides the detailed information on what is the binary equivalent of (317)10, and the step-by-step work for how to convert the decimal (base-10) number 317 to its binary (base-2) equivalent.

(317)10 in binary is equal to:
(317)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 317, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

317 MOD-2	317 / 2 = 158	Remainder is 1 → LSB
158 MOD-2	158 / 2 = 79	Remainder is 0
79 MOD-2	79 / 2 = 39	Remainder is 1
39 MOD-2	39 / 2 = 19	Remainder is 1
19 MOD-2	19 / 2 = 9	Remainder is 1
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 317.
317₁₀ = 100111101₂

Hence,
317 in binary is 100111101

where,
317₁₀ is the given decimal number,
10 in 317₁₀ represents the base-10 or decimal number system,
100111101₂ is the binary equivalent of the decimal 41,
2 in 100111101₂ represents the base-2 or binary number system.

Important Notes: (317)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 317 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 317 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 317 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 317 should be written from MSB to LSB to form the binary equivalent for the given decimal number (317)10.