402 in Binary

Decimal 402 in binary conversion provides the detailed information on what is the binary equivalent of (402)10, and the step-by-step work for how to convert the decimal (base-10) number 402 to its binary (base-2) equivalent.

(402)10 in binary is equal to:
(402)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 402, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

402 MOD-2	402 / 2 = 201	Remainder is 0 → LSB
201 MOD-2	201 / 2 = 100	Remainder is 1
100 MOD-2	100 / 2 = 50	Remainder is 0
50 MOD-2	50 / 2 = 25	Remainder is 0
25 MOD-2	25 / 2 = 12	Remainder is 1
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 402.
402₁₀ = 110010010₂

Hence,
402 in binary is 110010010

where,
402₁₀ is the given decimal number,
10 in 402₁₀ represents the base-10 or decimal number system,
110010010₂ is the binary equivalent of the decimal 41,
2 in 110010010₂ represents the base-2 or binary number system.

Important Notes: (402)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 402 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 402 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 402 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 402 should be written from MSB to LSB to form the binary equivalent for the given decimal number (402)10.