118 in Binary

Decimal 118 in binary conversion provides the detailed information on what is the binary equivalent of (118)10, and the step-by-step work for how to convert the decimal (base-10) number 118 to its binary (base-2) equivalent.

(118)10 in binary is equal to:
(118)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 118, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

118 MOD-2	118 / 2 = 59	Remainder is 0 → LSB
59 MOD-2	59 / 2 = 29	Remainder is 1
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 118.
118₁₀ = 1110110₂

Hence,
118 in binary is 1110110

where,
118₁₀ is the given decimal number,
10 in 118₁₀ represents the base-10 or decimal number system,
1110110₂ is the binary equivalent of the decimal 41,
2 in 1110110₂ represents the base-2 or binary number system.

Important Notes: (118)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 118 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 118 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 118 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 118 should be written from MSB to LSB to form the binary equivalent for the given decimal number (118)10.