61 in Binary

Decimal 61 in binary conversion provides the detailed information on what is the binary equivalent of (61)10, and the step-by-step work for how to convert the decimal (base-10) number 61 to its binary (base-2) equivalent.

(61)10 in binary is equal to:
(61)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 61, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

61 MOD-2	61 / 2 = 30	Remainder is 1 → LSB
30 MOD-2	30 / 2 = 15	Remainder is 0
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 61.
61₁₀ = 111101₂

Hence,
61 in binary is 111101

where,
61₁₀ is the given decimal number,
10 in 61₁₀ represents the base-10 or decimal number system,
111101₂ is the binary equivalent of the decimal 41,
2 in 111101₂ represents the base-2 or binary number system.

Important Notes: (61)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 61 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 61 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 61 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 61 should be written from MSB to LSB to form the binary equivalent for the given decimal number (61)10.