77 in Hex

Decimal 77 in hex conversion provides the detailed information on what is the hex equivalent of (77)10, and the step-by-step work for how to convert the decimal (base-10) number 77 to its hex (base-16) equivalent.

(77)10 in hex is equal to:
(77)10 = (?)16

Perform successive MOD-16 operation for decimal 77, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-16 of 77	77 / 16 = 4	Remainder is 13 → LSB
MOD-16 of 4	4 / 16 = 0	Remainder is 4 → MSB

Arrange the remainders of MOD-16 of 77 from MSB to LSB (4 13) and replace each remainders by the corresponding hex equivalent by referring the below table forms the equivalent hex number for decimal 77.

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 4 in hex is 4 → MSB
Decimal 13 in hex is D → LSB

= 4D
77₁₀ = 4D₁₆

Hence,
77 in hex is 4D

where,
77₁₀ is the given decimal number,
10 in 77₁₀ represents the base-10 or decimal number system,
4D₁₆ is the hex equivalent of the decimal 77,
16 in 4D₁₆ represents the base-16 or hexadecimal number system.

Important Notes: (77)10 in Hex
The below are some of the important notes to be remembered while converting the (base-10) decimal number 77 into a (base-16) hexadecimal equivalent.

1. The initial remainder of MOD-16 operation for 77 is a Least Significant Bit (LSB).
2. The last remainder of MOD-16 operation for 77 is a Most Significant Bit (MSB).
3. Arrange the reminders of mod-16 of 77 from MSB to LSB and replace each reminder by the corresponding hex equivalent forms the actual hex value of decimal 77.