423 in Binary

Decimal 423 in binary conversion provides the detailed information on what is the binary equivalent of (423)10, and the step-by-step work for how to convert the decimal (base-10) number 423 to its binary (base-2) equivalent.

(423)10 in binary is equal to:
(423)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 423, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

423 MOD-2	423 / 2 = 211	Remainder is 1 → LSB
211 MOD-2	211 / 2 = 105	Remainder is 1
105 MOD-2	105 / 2 = 52	Remainder is 1
52 MOD-2	52 / 2 = 26	Remainder is 0
26 MOD-2	26 / 2 = 13	Remainder is 0
13 MOD-2	13 / 2 = 6	Remainder is 1
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 423.
423₁₀ = 110100111₂

Hence,
423 in binary is 110100111

where,
423₁₀ is the given decimal number,
10 in 423₁₀ represents the base-10 or decimal number system,
110100111₂ is the binary equivalent of the decimal 41,
2 in 110100111₂ represents the base-2 or binary number system.

Important Notes: (423)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 423 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 423 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 423 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 423 should be written from MSB to LSB to form the binary equivalent for the given decimal number (423)10.