140 in Binary

Decimal 140 in binary conversion provides the detailed information on what is the binary equivalent of (140)10, and the step-by-step work for how to convert the decimal (base-10) number 140 to its binary (base-2) equivalent.

(140)10 in binary is equal to:
(140)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 140, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

140 MOD-2	140 / 2 = 70	Remainder is 0 → LSB
70 MOD-2	70 / 2 = 35	Remainder is 0
35 MOD-2	35 / 2 = 17	Remainder is 1
17 MOD-2	17 / 2 = 8	Remainder is 1
8 MOD-2	8 / 2 = 4	Remainder is 0
4 MOD-2	4 / 2 = 2	Remainder is 0
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 140.
140₁₀ = 10001100₂

Hence,
140 in binary is 10001100

where,
140₁₀ is the given decimal number,
10 in 140₁₀ represents the base-10 or decimal number system,
10001100₂ is the binary equivalent of the decimal 41,
2 in 10001100₂ represents the base-2 or binary number system.

Important Notes: (140)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 140 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 140 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 140 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 140 should be written from MSB to LSB to form the binary equivalent for the given decimal number (140)10.