Convert Decimal 53 to Binary
(53)10 = (?)2. Decimal 53 in binary conversion provides the detailed information on what is the binary equivalent of (53)10, and the step-by-step work for how to convert the decimal (base-10) number 53 to its binary (base-2) equivalent manually.
(53)10 in binary is equal to:
5310 = 1101012
Hence,
(53)10 is equivalent to (110101)2
where,
5310 is the given decimal number,
10 in 5310 represents the base-10 or decimal number system,
1101012 is the binary equivalent of the decimal 41,
2 in 1101012 represents the base-2 or binary number system.
Important Notes: (53)10 in Binary
The below are some of the important notes to be remembered while converting the base-10 number 53 into a binary number.
- The initial or first remainder while performing MOD-2 operation for 53 is a Least Significant Bit (LSB).
- The last remainder while performing MOD-2 operation for 53 is a Most Significant Bit (MSB).
- The remainders of MOD-2 operation for 53 should be written from MSB to LSB to form the binary equivalent for the given decimal number (53)10.
How-to: What is (53)10 in binary?
The below step-by-step solution shows how to convert (53)10 to its equivalent binary code or number. Arranging or writing the remainders from MSB to LSB of successive MOD-2 operation for decimal 53 forms the binary equivalent of 53.
Solved Example:What is the binary equivalent of 53?
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 53?
(53)10 = (?)2
step 2 Perform successive MOD-2 operation for decimal 53, and mark the initial remainder as LSB and the final remainder as MSB as like the below:
Successive MOD-2 Operation for 53:
53 MOD-2 | 53 / 2 = 26 | Remainder is 1 → LSB |
26 MOD-2 | 26 / 2 = 13 | Remainder is 0 |
13 MOD-2 | 13 / 2 = 6 | Remainder is 1 |
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 53 from MSB to LSB forms the binary equivalent for 53:
110101
5310 = 1101012
Therefore,
the binary equivalent of 53 is (110101)2
