189 in Binary

Decimal 189 in binary conversion provides the detailed information on what is the binary equivalent of (189)10, and the step-by-step work for how to convert the decimal (base-10) number 189 to its binary (base-2) equivalent.

(189)10 in binary is equal to:
(189)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 189, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

189 MOD-2	189 / 2 = 94	Remainder is 1 → LSB
94 MOD-2	94 / 2 = 47	Remainder is 0
47 MOD-2	47 / 2 = 23	Remainder is 1
23 MOD-2	23 / 2 = 11	Remainder is 1
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 189.
189₁₀ = 10111101₂

Hence,
189 in binary is 10111101

where,
189₁₀ is the given decimal number,
10 in 189₁₀ represents the base-10 or decimal number system,
10111101₂ is the binary equivalent of the decimal 41,
2 in 10111101₂ represents the base-2 or binary number system.

Important Notes: (189)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 189 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 189 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 189 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 189 should be written from MSB to LSB to form the binary equivalent for the given decimal number (189)10.