462 in Binary

Decimal 462 in binary conversion provides the detailed information on what is the binary equivalent of (462)10, and the step-by-step work for how to convert the decimal (base-10) number 462 to its binary (base-2) equivalent.

(462)10 in binary is equal to:
(462)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 462, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

462 MOD-2	462 / 2 = 231	Remainder is 0 → LSB
231 MOD-2	231 / 2 = 115	Remainder is 1
115 MOD-2	115 / 2 = 57	Remainder is 1
57 MOD-2	57 / 2 = 28	Remainder is 1
28 MOD-2	28 / 2 = 14	Remainder is 0
14 MOD-2	14 / 2 = 7	Remainder is 0
7 MOD-2	7 / 2 = 3	Remainder is 1
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 462.
462₁₀ = 111001110₂

Hence,
462 in binary is 111001110

where,
462₁₀ is the given decimal number,
10 in 462₁₀ represents the base-10 or decimal number system,
111001110₂ is the binary equivalent of the decimal 41,
2 in 111001110₂ represents the base-2 or binary number system.

Important Notes: (462)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 462 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 462 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 462 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 462 should be written from MSB to LSB to form the binary equivalent for the given decimal number (462)10.