# Convert Decimal 14 to Binary

(14)10 = (?)2. Decimal 14 in binary conversion provides the detailed information on what is the binary equivalent of (14)10, and the step-by-step work for how to convert the decimal (base-10) number 14 to its binary (base-2) equivalent manually.

(14)10 in binary is equal to:
1410 = 11102

Hence,
(14)10 is equivalent to (1110)2

where,
1410 is the given decimal number,
10 in 1410 represents the base-10 or decimal number system,
11102 is the binary equivalent of the decimal 41,
2 in 11102 represents the base-2 or binary number system.

Important Notes: (14)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 14 into a binary number.

1. The initial or first remainder while performing MOD-2 operation for 14 is a Least Significant Bit (LSB).
2. The last remainder while performing MOD-2 operation for 14 is a Most Significant Bit (MSB).
3. The remainders of MOD-2 operation for 14 should be written from MSB to LSB to form the binary equivalent for the given decimal number (14)10.

For decimal values other than 14, use this below tool:

## How-to: What is (14)10 in binary?

The below step-by-step solution shows how to convert (14)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 14 forms the binary equivalent of 14.

Solved Example:
What is the binary equivalent of 14?

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 14?
(14)10 = (?)2

step 2 Perform successive MOD-2 operation for decimal 14, and mark the initial remainder as LSB and the final remainder as MSB as like the below:

Successive MOD-2 Operation for 14:
 14 MOD-2 14 / 2 = 7 Remainder is 0 → LSB 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

step 3 Write the remainders of MOD-2 operation for 14 from MSB to LSB forms the binary equivalent for 14:
1110
1410 = 11102

Therefore,
the binary equivalent of 14 is (1110)2 