180 in Binary

Decimal 180 in binary conversion provides the detailed information on what is the binary equivalent of (180)10, and the step-by-step work for how to convert the decimal (base-10) number 180 to its binary (base-2) equivalent.

(180)10 in binary is equal to:
(180)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 180, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

180 MOD-2	180 / 2 = 90	Remainder is 0 → LSB
90 MOD-2	90 / 2 = 45	Remainder is 0
45 MOD-2	45 / 2 = 22	Remainder is 1
22 MOD-2	22 / 2 = 11	Remainder is 0
11 MOD-2	11 / 2 = 5	Remainder is 1
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 180.
180₁₀ = 10110100₂

Hence,
180 in binary is 10110100

where,
180₁₀ is the given decimal number,
10 in 180₁₀ represents the base-10 or decimal number system,
10110100₂ is the binary equivalent of the decimal 41,
2 in 10110100₂ represents the base-2 or binary number system.

Important Notes: (180)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 180 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 180 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 180 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 180 should be written from MSB to LSB to form the binary equivalent for the given decimal number (180)10.