248 in Binary

Decimal 248 in binary conversion provides the detailed information on what is the binary equivalent of (248)10, and the step-by-step work for how to convert the decimal (base-10) number 248 to its binary (base-2) equivalent.

(248)10 in binary is equal to:
(248)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 248, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

248 MOD-2	248 / 2 = 124	Remainder is 0 → LSB
124 MOD-2	124 / 2 = 62	Remainder is 0
62 MOD-2	62 / 2 = 31	Remainder is 0
31 MOD-2	31 / 2 = 15	Remainder is 1
15 MOD-2	15 / 2 = 7	Remainder is 1
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 248.
248₁₀ = 11111000₂

Hence,
248 in binary is 11111000

where,
248₁₀ is the given decimal number,
10 in 248₁₀ represents the base-10 or decimal number system,
11111000₂ is the binary equivalent of the decimal 41,
2 in 11111000₂ represents the base-2 or binary number system.

Important Notes: (248)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 248 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 248 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 248 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 248 should be written from MSB to LSB to form the binary equivalent for the given decimal number (248)10.