# Convert Decimal 50 to Binary

(50)10 = (?)2. Decimal 50 in binary conversion provides the detailed information on what is the binary equivalent of (50)10, and the step-by-step work for how to convert the decimal (base-10) number 50 to its binary (base-2) equivalent manually.

(50)10 in binary is equal to:
5010 = 1100102

Hence,
(50)10 is equivalent to (110010)2

where,
5010 is the given decimal number,
10 in 5010 represents the base-10 or decimal number system,
1100102 is the binary equivalent of the decimal 41,
2 in 1100102 represents the base-2 or binary number system.

Important Notes: (50)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 50 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 50 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 50 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 50 should be written from MSB to LSB to form the binary equivalent for the given decimal number (50)10.

For decimal values other than 50, use this below tool:

## How-to: What is (50)10 in binary?

The below step-by-step solution shows how to convert (50)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 50 forms the binary equivalent of 50.

Solved Example:
What is the binary equivalent of 50?

step 1 Observe the input parameters, values and what to be found:

Input values:
Decimal Number = (41)10

what to be found:
Which binary value is equal to the decimal number 50?
(50)10 = (?)2

step 2 Perform successive MOD-2 operation for decimal 50, and mark the initial remainder as LSB and the final remainder as MSB as like the below:

Successive MOD-2 Operation for 50:
 50 MOD-2 50 / 2 = 25 Remainder is 0 → LSB 25 MOD-2 25 / 2 = 12 Remainder is 1 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

step 3 Write the remainders of MOD-2 operation for 50 from MSB to LSB forms the binary equivalent for 50:
110010
5010 = 1100102

Therefore,
the binary equivalent of 50 is (110010)2 