7 in Binary

Decimal 7 in binary conversion provides the detailed information on what is the binary equivalent of (7)10, and the step-by-step work for how to convert the decimal (base-10) number 7 to its binary (base-2) equivalent.

(7)10 in binary is equal to:
(7)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 7, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

7 MOD-2	7 / 2 = 3	Remainder is 1 → LSB
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 7.
7₁₀ = 111₂

Hence,
7 in binary is 111

where,
7₁₀ is the given decimal number,
10 in 7₁₀ represents the base-10 or decimal number system,
111₂ is the binary equivalent of the decimal 41,
2 in 111₂ represents the base-2 or binary number system.

Important Notes: (7)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 7 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 7 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 7 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 7 should be written from MSB to LSB to form the binary equivalent for the given decimal number (7)10.