153 in Binary

Decimal 153 in binary conversion provides the detailed information on what is the binary equivalent of (153)10, and the step-by-step work for how to convert the decimal (base-10) number 153 to its binary (base-2) equivalent.

(153)10 in binary is equal to:
(153)₁₀ = (?)₂
Perform successive MOD-2 operation for decimal 153, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

153 MOD-2	153 / 2 = 76	Remainder is 1 → LSB
76 MOD-2	76 / 2 = 38	Remainder is 0
38 MOD-2	38 / 2 = 19	Remainder is 0
19 MOD-2	19 / 2 = 9	Remainder is 1
9 MOD-2	9 / 2 = 4	Remainder is 1
4 MOD-2	4 / 2 = 2	Remainder is 0
2 MOD-2	2 / 2 = 1	Remainder is 0
1 MOD-2	1 / 2 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the binary equivalent of 153.
153₁₀ = 10011001₂

Hence,
153 in binary is 10011001

where,
153₁₀ is the given decimal number,
10 in 153₁₀ represents the base-10 or decimal number system,
10011001₂ is the binary equivalent of the decimal 41,
2 in 10011001₂ represents the base-2 or binary number system.

Important Notes: (153)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 153 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 153 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 153 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 153 should be written from MSB to LSB to form the binary equivalent for the given decimal number (153)10.