30 in Binary

Decimal 30 in binary conversion provides the detailed information on what is the binary equivalent of (30)10, and the step-by-step work for how to convert the decimal (base-10) number 30 to its binary (base-2) equivalent.

(30)10 in binary is equal to:
(30)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 30, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

30 MOD-2	30 / 2 = 15	Remainder is 0 → LSB
15 MOD-2	15 / 2 = 7	Remainder is 1
7 MOD-2	7 / 2 = 3	Remainder is 1
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 30.
30₁₀ = 11110₂

Hence,
30 in binary is 11110

where,
30₁₀ is the given decimal number,
10 in 30₁₀ represents the base-10 or decimal number system,
11110₂ is the binary equivalent of the decimal 41,
2 in 11110₂ represents the base-2 or binary number system.

Important Notes: (30)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 30 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 30 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 30 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 30 should be written from MSB to LSB to form the binary equivalent for the given decimal number (30)10.