# Convert Decimal 64 to Hex

(64)10 = (?)16. Decimal 64 in hex conversion provides the detailed information on what is the hexadecimal equivalent of (64)10 and the step-by-step work for how to convert the decimal 64 to its equivalent hex (base-16) number manually.

__(64)10 in hex is equivalent to:__

64_{10} = 40_{16}

Hence,

(40)16 is the hex equivalent of (64)10

__where,__

64_{10} is the given decimal number,

10 in 64_{10} represents the base-10 or decimal number system,

40_{16} is the hex equivalent of the decimal 64,

16 in 40_{16} represents the base-16 or hexadecimal number system.

__Important Notes: (64)10 in Hex__

The below are some of the important notes to be remembered while converting the (base-10) decimal number 64 into a (base-16) hexadecimal equivalent.

- The initial or first remainder while performing 64 MOD-16 operation is a Least Significant Bit (LSB).
- The last remainder while performing 64 MOD-16 operation is a Most Significant Bit (MSB).
- Find the equivalent hex number for each remainders of 64 MOD-16 operation before arranging the numbers from MSB to LSB to find the hex equivalent.
- The remainders of 64 MOD-16 operation in hex equivalents should be written from MSB to LSB to form the hex equivalent for the given decimal number (64)10.

## How-to: What is (64)10 in hex?

The below step-by-step solution shows how to convert (64)10 to its equivalent hexadecimal number. Represent each remainders of 64 MOD-16 operation in hex equivalents and arranging them from MSB to LSB produces the hex equivalent of 64.

__Solved Example:__

What is the hex equivalent of 64?

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

__Input values:__

Decimal Number = (64)

_{10}

__What to be found:__

What is the hexadecimal value of decimal number 64?

(64)10 = (?)16

step 2 Perform successive MOD-16 operation for decimal 64 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 64__

64 MOD-16 | 64 / 16 = 4 | Remainder is 0 → LSB |

4 MOD-16 | 4 / 16 = 0 | Remainder is 4 → MSB |

step 3 Use the below table to find the equivalent hex representation for each remainders of successive 64 MOD-16 operation:

Decimal: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |

Hex: | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |

Decimal 0 in hex is 0 →

**LSB**

Decimal 4 in hex is 4 →

**MSB**

step 4 Write the remainders of 64 MOD-16 operation in hex equivalents from MSB to LSB produces the equivalent hex (base-16) number for decimal (base-10) 64:

= 40

(64)

_{10}= (40)

_{16}

Therefore,

the hex equivalent of 64 is (40)16.