45 Decimal to Hexadecimal Converter

The 45 Decimal to Hexadecimal Converter is used to convert the decimal number 45 (base-10) into its hexadecimal equivalent (base-16). This conversion is commonly used in computer science, programming, and digital systems.

In this article, you will learn how to convert 45 from decimal to hexadecimal step-by-step, along with the logic behind the conversion.

What Is the Decimal Number System?

The decimal number system is a base-10 system that uses digits from 0 to 9. It is the most widely used number system in everyday calculations.

Example:
45 (decimal)
= (4 × 10¹) + (5 × 10⁰)

What Is the Hexadecimal Number System?

The hexadecimal number system is a base-16 system that uses:

• Digits: 0–9
• Letters: A–F

Where:

• A = 10
• B = 11
• C = 12
• D = 13
• E = 14
• F = 15

Hexadecimal is widely used in programming, memory representation, and binary-to-text conversion.

Formula to Convert Decimal to Hexadecimal

To convert a decimal number into hexadecimal, we use the repeated division by 16 method:

1. Divide the decimal number by 16
2. Write down the remainder
3. Divide the quotient again by 16
4. Repeat until the quotient becomes 0
5. Read the remainders from bottom to top

Step-by-Step Conversion of 45 Decimal to Hexadecimal

Let’s convert 45 (base-10) into hexadecimal.

Step 1: Divide by 16

45 ÷ 16 = 2
Remainder = 13 (D)

Step 2: Divide again

2 ÷ 16 = 0
Remainder = 2

Step 3: Write remainders from bottom to top

Remainders: 2 D

Final Answer

(45)10​=(2D)16​

✅ 45 decimal equals 2D in hexadecimal

Why Does 45 Become 2D in Hexadecimal?

• 16 × 2 = 32
• 45 − 32 = 13
• 13 is represented by D in hexadecimal

So, the hexadecimal value of 45 is 2D.

Decimal to Hexadecimal Conversion Table (Nearby Values)

Decimal	Hexadecimal
32	20
40	28
45	2D
48	30
64	40

Decimal to Hexadecimal Conversion Table (0–256)

Decimal	Hex	Decimal	Hex	Decimal	Hex	Decimal	Hex
0	0	16	10	32	20	48	30
1	1	17	11	33	21	49	31
2	2	18	12	34	22	50	32
3	3	19	13	35	23	51	33
4	4	20	14	36	24	52	34
5	5	21	15	37	25	53	35
6	6	22	16	38	26	54	36
7	7	23	17	39	27	55	37
8	8	24	18	40	28	56	38
9	9	25	19	41	29	57	39
10	A	26	1A	42	2A	58	3A
11	B	27	1B	43	2B	59	3B
12	C	28	1C	44	2C	60	3C
13	D	29	1D	45	2D	61	3D
14	E	30	1E	46	2E	62	3E
15	F	31	1F	47	2F	63	3F
64	40	80	50	96	60	112	70
65	41	81	51	97	61	113	71
66	42	82	52	98	62	114	72
67	43	83	53	99	63	115	73
68	44	84	54	100	64	116	74
69	45	85	55	101	65	117	75
70	46	86	56	102	66	118	76
71	47	87	57	103	67	119	77
72	48	88	58	104	68	120	78
73	49	89	59	105	69	121	79
74	4A	90	5A	106	6A	122	7A
75	4B	91	5B	107	6B	123	7B
76	4C	92	5C	108	6C	124	7C
77	4D	93	5D	109	6D	125	7D
78	4E	94	5E	110	6E	126	7E
79	4F	95	5F	111	6F	127	7F
128	80	144	90	160	A0	176	B0
129	81	145	91	161	A1	177	B1
130	82	146	92	162	A2	178	B2
131	83	147	93	163	A3	179	B3
132	84	148	94	164	A4	180	B4
133	85	149	95	165	A5	181	B5
134	86	150	96	166	A6	182	B6
135	87	151	97	167	A7	183	B7
136	88	152	98	168	A8	184	B8
137	89	153	99	169	A9	185	B9
138	8A	154	9A	170	AA	186	BA
139	8B	155	9B	171	AB	187	BB
140	8C	156	9C	172	AC	188	BC
141	8D	157	9D	173	AD	189	BD
142	8E	158	9E	174	AE	190	BE
143	8F	159	9F	175	AF	191	BF
192	C0	208	D0	224	E0	240	F0
193	C1	209	D1	225	E1	241	F1
194	C2	210	D2	226	E2	242	F2
195	C3	211	D3	227	E3	243	F3
196	C4	212	D4	228	E4	244	F4
197	C5	213	D5	229	E5	245	F5
198	C6	214	D6	230	E6	246	F6
199	C7	215	D7	231	E7	247	F7
200	C8	216	D8	232	E8	248	F8
201	C9	217	D9	233	E9	249	F9
202	CA	218	DA	234	EA	250	FA
203	CB	219	DB	235	EB	251	FB
204	CC	220	DC	236	EC	252	FC
205	CD	221	DD	237	ED	253	FD
206	CE	222	DE	238	EE	254	FE
207	CF	223	DF	239	EF	255	FF
256	100

Why Use a 45 Decimal to Hexadecimal Converter?

Using a converter helps you:

• Get instant and accurate results
• Avoid manual calculation errors
• Save time
• Understand number system conversions easily

This tool is useful for students, programmers, and computer science learners.

Summary

• Decimal system uses base-10
• Hexadecimal system uses base-16
• Conversion is done using division by 16
• 45 decimal = 2D hexadecimal
• Hexadecimal is widely used in computing

FaQs