100 in Binary

Decimal 100 in binary conversion provides the detailed information on what is the binary equivalent of (100)10, and the step-by-step work for how to convert the decimal (base-10) number 100 to its binary (base-2) equivalent.

(100)10 in binary is equal to:
(100)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 100, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

100 MOD-2	100 / 2 = 50	Remainder is 0 → LSB
50 MOD-2	50 / 2 = 25	Remainder is 0
25 MOD-2	25 / 2 = 12	Remainder is 1
12 MOD-2	12 / 2 = 6	Remainder is 0
6 MOD-2	6 / 2 = 3	Remainder is 0
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 100.
100₁₀ = 1100100₂

Hence,
100 in binary is 1100100

where,
100₁₀ is the given decimal number,
10 in 100₁₀ represents the base-10 or decimal number system,
1100100₂ is the binary equivalent of the decimal 41,
2 in 1100100₂ represents the base-2 or binary number system.

Important Notes: (100)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 100 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 100 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 100 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 100 should be written from MSB to LSB to form the binary equivalent for the given decimal number (100)10.