Convert Decimal 31 to Hex
(31)10 = (?)16. Decimal 31 in hex conversion provides the detailed information on what is the hexadecimal equivalent of (31)10 and the step-by-step work for how to convert the decimal 31 to its equivalent hex (base-16) number manually.
(31)10 in hex is equivalent to:
3110 = 1F16
(1F)16 is the hex equivalent of (31)10
3110 is the given decimal number,
10 in 3110 represents the base-10 or decimal number system,
1F16 is the hex equivalent of the decimal 31,
16 in 1F16 represents the base-16 or hexadecimal number system.
Important Notes: (31)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 31 into a (base-16) hexadecimal equivalent.
- The initial or first remainder while performing 31 MOD-16 operation is a Least Significant Bit (LSB).
- The last remainder while performing 31 MOD-16 operation is a Most Significant Bit (MSB).
- Find the equivalent hex number for each remainders of 31 MOD-16 operation before arranging the numbers from MSB to LSB to find the hex equivalent.
- The remainders of 31 MOD-16 operation in hex equivalents should be written from MSB to LSB to form the hex equivalent for the given decimal number (31)10.
How-to: What is (31)10 in hex?
The below step-by-step solution shows how to convert (31)10 to its equivalent hexadecimal number. Represent each remainders of 31 MOD-16 operation in hex equivalents and arranging them from MSB to LSB produces the hex equivalent of 31.
What is the hex equivalent of 31?
step 1 Observe the input parameters, values and what to be found:
Decimal Number = (31)10
What to be found:
What is the hexadecimal value of decimal number 31?
(31)10 = (?)16
step 2 Perform successive MOD-16 operation for decimal 31 until the quotient becomes 0, and mark the initial remainder as LSB and the final remainder as MSB as like the below:
Successive MOD-16 Operation for 31
|31 MOD-16||31 / 16 = 1||Remainder is 15 → LSB|
|1 MOD-16||1 / 16 = 0||Remainder is 1 → MSB|
step 3 Use the below table to find the equivalent hex representation for each remainders of successive 31 MOD-16 operation:
Decimal 15 in hex is F → LSB
Decimal 1 in hex is 1 → MSB
step 4 Write the remainders of 31 MOD-16 operation in hex equivalents from MSB to LSB produces the equivalent hex (base-16) number for decimal (base-10) 31:
(31)10 = (1F)16
the hex equivalent of 31 is (1F)16.