98 in Binary

Decimal 98 in binary conversion provides the detailed information on what is the binary equivalent of (98)10, and the step-by-step work for how to convert the decimal (base-10) number 98 to its binary (base-2) equivalent.

(98)10 in binary is equal to:
(98)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 98, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

98 MOD-2	98 / 2 = 49	Remainder is 0 → LSB
49 MOD-2	49 / 2 = 24	Remainder is 1
24 MOD-2	24 / 2 = 12	Remainder is 0
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 98.
98₁₀ = 1100010₂

Hence,
98 in binary is 1100010

where,
98₁₀ is the given decimal number,
10 in 98₁₀ represents the base-10 or decimal number system,
1100010₂ is the binary equivalent of the decimal 41,
2 in 1100010₂ represents the base-2 or binary number system.

Important Notes: (98)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 98 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 98 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 98 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 98 should be written from MSB to LSB to form the binary equivalent for the given decimal number (98)10.