Convert Decimal 45 to Hex
(45)10 = (?)16. Decimal 45 in hex conversion provides the detailed information on what is the hexadecimal equivalent of (45)10 and the step-by-step work for how to convert the decimal 45 to its equivalent hex (base-16) number manually.
(45)10 in hex is equivalent to:
4510 = 2D16
(2D)16 is the hex equivalent of (45)10
4510 is the given decimal number,
10 in 4510 represents the base-10 or decimal number system,
2D16 is the hex equivalent of the decimal 45,
16 in 2D16 represents the base-16 or hexadecimal number system.
Important Notes: (45)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 45 into a (base-16) hexadecimal equivalent.
- The initial or first remainder while performing 45 MOD-16 operation is a Least Significant Bit (LSB).
- The last remainder while performing 45 MOD-16 operation is a Most Significant Bit (MSB).
- Find the equivalent hex number for each remainders of 45 MOD-16 operation before arranging the numbers from MSB to LSB to find the hex equivalent.
- The remainders of 45 MOD-16 operation in hex equivalents should be written from MSB to LSB to form the hex equivalent for the given decimal number (45)10.
How-to: What is (45)10 in hex?
The below step-by-step solution shows how to convert (45)10 to its equivalent hexadecimal number. Represent each remainders of 45 MOD-16 operation in hex equivalents and arranging them from MSB to LSB produces the hex equivalent of 45.
What is the hex equivalent of 45?
step 1 Observe the input parameters, values and what to be found:
Decimal Number = (45)10
What to be found:
What is the hexadecimal value of decimal number 45?
(45)10 = (?)16
step 2 Perform successive MOD-16 operation for decimal 45 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 45
|45 MOD-16||45 / 16 = 2||Remainder is 13 → LSB|
|2 MOD-16||2 / 16 = 0||Remainder is 2 → MSB|
step 3 Use the below table to find the equivalent hex representation for each remainders of successive 45 MOD-16 operation:
Decimal 13 in hex is D → LSB
Decimal 2 in hex is 2 → MSB
step 4 Write the remainders of 45 MOD-16 operation in hex equivalents from MSB to LSB produces the equivalent hex (base-16) number for decimal (base-10) 45:
(45)10 = (2D)16
the hex equivalent of 45 is (2D)16.