59 in Binary

Decimal 59 in binary conversion provides the detailed information on what is the binary equivalent of (59)10, and the step-by-step work for how to convert the decimal (base-10) number 59 to its binary (base-2) equivalent.

(59)10 in binary is equal to:
(59)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 59, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

59 MOD-2	59 / 2 = 29	Remainder is 1 → LSB
29 MOD-2	29 / 2 = 14	Remainder is 1
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 59.
59₁₀ = 111011₂

Hence,
59 in binary is 111011

where,
59₁₀ is the given decimal number,
10 in 59₁₀ represents the base-10 or decimal number system,
111011₂ is the binary equivalent of the decimal 41,
2 in 111011₂ represents the base-2 or binary number system.

Important Notes: (59)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 59 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 59 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 59 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 59 should be written from MSB to LSB to form the binary equivalent for the given decimal number (59)10.