82 in Binary

Decimal 82 in binary conversion provides the detailed information on what is the binary equivalent of (82)10, and the step-by-step work for how to convert the decimal (base-10) number 82 to its binary (base-2) equivalent.

(82)10 in binary is equal to:
(82)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 82, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

82 MOD-2	82 / 2 = 41	Remainder is 0 → LSB
41 MOD-2	41 / 2 = 20	Remainder is 1
20 MOD-2	20 / 2 = 10	Remainder is 0
10 MOD-2	10 / 2 = 5	Remainder is 0
5 MOD-2	5 / 2 = 2	Remainder is 1
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 82.
82₁₀ = 1010010₂

Hence,
82 in binary is 1010010

where,
82₁₀ is the given decimal number,
10 in 82₁₀ represents the base-10 or decimal number system,
1010010₂ is the binary equivalent of the decimal 41,
2 in 1010010₂ represents the base-2 or binary number system.

Important Notes: (82)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 82 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 82 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 82 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 82 should be written from MSB to LSB to form the binary equivalent for the given decimal number (82)10.