4 in Binary

Decimal 4 in binary conversion provides the detailed information on what is the binary equivalent of (4)10, and the step-by-step work for how to convert the decimal (base-10) number 4 to its binary (base-2) equivalent.

(4)10 in binary is equal to:
(4)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 4, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

4 MOD-2	4 / 2 = 2	Remainder is 0 → LSB
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 4.
4₁₀ = 100₂

Hence,
4 in binary is 100

where,
4₁₀ is the given decimal number,
10 in 4₁₀ represents the base-10 or decimal number system,
100₂ is the binary equivalent of the decimal 41,
2 in 100₂ represents the base-2 or binary number system.

Important Notes: (4)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 4 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 4 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 4 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 4 should be written from MSB to LSB to form the binary equivalent for the given decimal number (4)10.