Octal number system 1 - 100

Octal number system is numeral system with a base of 8. Represents numeric values using eight symbols, 0, 1, 2, 3, 4, 5, 6 and 7. There is no 8 or 9 in octal number system.

Table below is octal number from 1 to 144, equivalent of 1 to 100 in decimal number.

Octal	Decimal	Octal	Decimal
1	1	63	51
2	2	64	52
3	3	65	53
4	4	66	54
5	5	67	55
6	6	70	56
7	7	71	57
10	8	72	58
11	9	73	59
12	10	74	60
13	11	75	61
14	12	76	62
15	13	77	63
16	14	100	64
17	15	101	65
20	16	102	66
21	17	103	67
22	18	104	68
23	19	105	69
24	20	106	70
25	21	107	71
26	22	110	72
27	23	111	73
30	24	112	74
31	25	113	75
32	26	114	76
33	27	115	77
34	28	116	78
35	29	117	79
36	30	120	80
37	31	121	81
40	32	122	82
41	33	123	83
42	34	124	84
43	35	125	85
44	36	126	86
45	37	127	87
46	38	130	88
47	39	131	89
50	40	132	90
51	41	133	91
52	42	134	92
53	43	135	93
54	44	136	94
55	45	137	95
56	46	140	96
57	47	141	97
60	48	142	98
61	49	143	99
62	50	144	100

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Binary number system 1 - 100

Binary number system is numeral system with a base of 2. Represents numeric values using two symbols, 0 and 1. There is no 2,3,4,5,6,7,8 or 9 in binary number system.

Table below is binary number from 1 to 1100100, equivalent of 1 to 100 in decimal number.

Binary	Decimal	Binary	Decimal
1	1	110011	51
10	2	110100	52
11	3	110101	53
100	4	110110	54
101	5	110111	55
110	6	111000	56
111	7	111001	57
1000	8	111010	58
1001	9	111011	59
1010	10	111100	60
1011	11	111101	61
1100	12	111110	62
1101	13	111111	63
1110	14	1000000	64
1111	15	1000001	65
10000	16	1000010	66
10001	17	1000011	67
10010	18	1000100	68
10011	19	1000101	69
10100	20	1000110	70
10101	21	1000111	71
10110	22	1001000	72
10111	23	1001001	73
11000	24	1001010	74
11001	25	1001011	75
11010	26	1001100	76
11011	27	1001101	77
11100	28	1001110	78
11101	29	1001111	79
11110	30	1010000	80
11111	31	1010001	81
100000	32	1010010	82
100001	33	1010011	83
100010	34	1010100	84
100011	35	1010101	85
100100	36	1010110	86
100101	37	1010111	87
100110	38	1011000	88
100111	39	1011001	89
101000	40	1011010	90
101001	41	1011011	91
101010	42	1011100	92
101011	43	1011101	93
101100	44	1011110	94
101101	45	1011111	95
101110	46	1100000	96
101111	47	1100001	97
110000	48	1100010	98
110001	49	1100011	99
110010	50	1100100	100

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Hexadecimal numbers to octal numbers

Convert hexadecimal numbers to octal numbers
1. F4
2. ADE
3. 8C1F

Completion:
1. F4 ₍₁₆₎ = ? ₍₈₎
* First, convert hexadecimal numbers to decimal numbers. Then, convert decimal numbers to octal numbers.

hexadecimal to decimal
F4 = 4x16⁰ + Fx16¹
F4 = 4x16⁰ + 15x16¹
F4 = 4 + 240
F4 ₍₁₆₎ = 244 ₍₁₀₎

decimal to octal
244 / 8 = 30, remains 4
30 / 8 = 3, remains 6
3 / 8 = 0, remains 3
244 ₍₁₀₎ = 364 ₍₈₎

F4 hexadecimal number equal to 364 octal number
F4 ₍₁₆₎ = 364 ₍₈₎

2. ADE ₍₁₆₎ = ? ₍₈₎
hexadecimal to decimal
ADE = Ex16⁰ + Dx16¹ + Ax16²
ADE = 14x16⁰ + 13x16¹ + 10x16²
ADE = 14 + 208 + 2560
ADE ₍₁₆₎ = 2782 ₍₁₀₎

decimal to octal
2782 / 8 = 347, remains 6
347 / 8 = 43, remains 3
43 / 8 = 5, remains 3
5 / 8 = 0, remains 5
3501 ₍₁₀₎ = 5336 ₍₈₎

ADE hexadecimal number equal to 5336 octal number
ADE ₍₁₆₎ = 5336 ₍₈₎

3. 8C1F ₍₁₆₎ = ? ₍₈₎
hexadecimal to decimal
8C1F = Fx16⁰ + 1x16¹ + Cx16² + 8x16³
8C1F = 15x16⁰ + 1x16¹ + 12x16² + 8x16³
8C1F = 15 + 16 + 3072 + 32768
8C1F ₍₁₆₎ = 35871 ₍₁₀₎

decimal to octal
35871 / 8 = 4483, remains 7
4483 / 8 = 560, remains 3
560 / 8 = 70, remains 0
70 / 8 = 8, remains 6
8 / 8 = 1, remains 0
1 / 8 = 0, remains 1
605025 ₍₁₀₎ = 106037 ₍₈₎

8C1F hexadecimal number equal to 106037 octal number
8C1F ₍₁₆₎ = 106037 ₍₈₎

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Hexadecimal numbers to binary numbers

Convert hexadecimal numbers to binary numbers
1. 2B
2. DAD
3. FE01

Completion:
1. 2B ₍₁₆₎ = ? ₍₂₎
* First, convert hexadecimal numbers to decimal numbers. Then, convert decimal numbers to binary numbers.

hexadecimal to decimal
2B = Bx16⁰ + 2x16¹
2B = 11x16⁰ + 2x16¹
2B = 11 + 32
2B ₍₁₆₎ = 43 ₍₁₀₎

decimal to binary
43 / 2 = 21, remains 1
21 / 2 = 10, remains 1
10 / 2 = 5, remains 0
5 / 2 = 2, remains 1
2 / 2 = 1, remains 0
1 / 2 = 0, remains 1
43 ₍₁₀₎ = 101011 ₍₂₎

2B hexadecimal number equal to 101011 binary number
2B ₍₁₆₎ = 101011 ₍₂₎

2. DAD ₍₁₆₎ = ? ₍₂₎
hexadecimal to decimal
DAD = Dx16⁰ + Ax16¹ + Ax16²
DAD = 13x16⁰ + 10x16¹ + 13x16²
DAD = 13 + 160 + 3328
DAD ₍₁₆₎ = 3501 ₍₁₀₎

decimal to binary
3501 / 2 = 1750, remains 1
1750 / 2 = 875, remains 0
875 / 2 = 437, remains 1
437 / 2 = 218, remains 1
218 / 2 = 109, remains 0
109 / 2 = 54, remains 1
54 / 2 = 27, remains 0
27 / 2 = 13, remains 1
13 / 2 = 6, remains 1
6 / 2 = 3, remains 0
3 / 2 = 1, remains 1
1 / 2 = 0, remains 1
3501 ₍₁₀₎ = 110110101101 ₍₂₎

DAD hexadecimal number equal to 110110101101 binary number
DAD ₍₁₆₎ = 110110101101 ₍₂₎

3. FE01 ₍₁₆₎ = ? ₍₂₎
hexadecimal to decimal
FE01 = 1x16⁰ + 0x16¹ + Ex16² + Fx16³
FE01 = 1x16⁰ + 0x16¹ + 14x16² + 15x16³
FE01 = 1 + 0 + 3584 + 61440
FE01 ₍₁₆₎ = 65025 ₍₁₀₎

decimal to binary
65025 / 2 = 32512, remains 1
32512 / 2 = 16256, remains 0
16256 / 2 = 8128, remains 0
8128 / 2 = 4064, remains 0
4064 / 2 = 2032, remains 0
2032 / 2 = 1016, remains 0
1016 / 2 = 508, remains 0
508 / 2 = 254, remains 0
254 / 2 = 127, remains 0
127 / 2 = 63, remains 1
63 / 2 = 31, remains 1
31 / 2 = 15, remains 1
15 / 2 = 7, remains 1
7 / 2 = 3, remains 1
3 / 2 = 1, remains 1
1 / 2 = 0, remains 1
605025 ₍₁₀₎ = 1111111000000001 ₍₂₎

FE01 hexadecimal number equal to 1111111000000001 binary number
FE01 ₍₁₆₎ = 1111111000000001 ₍₂₎

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Octal numbers to hexadecimal numbers

Convert octal numbers to hexadecimal numbers
1. 73
2. 305
3. 5431

Completion:
1. 73 ₍₈₎ = ? ₍₁₆₎
* First, convert octal numbers to decimal numbers. Then, convert decimal numbers to hexadecimal numbers.

octal to decimal
73 = 3x8⁰ + 7x8¹
73 = 3 + 56
73 ₍₈₎ = 59 ₍₁₀₎

decimal to hexadecimal
59 / 16 = 3, remains 11 or B
3 / 16 = 0, remains 3
59 ₍₁₀₎ = 3B ₍₁₆₎

73 octal number equal to 3B hexadecimal number
73 ₍₈₎ = 3B ₍₁₆₎

2. 305 ₍₈₎ = ? ₍₁₆₎
octal to decimal
305 = 5x8⁰ + 0x8¹ + 3x8²
305 = 5 + 0 + 192
305 ₍₈₎ = 197 ₍₁₀₎

decimal to hexadecimal
197 / 16 = 12, remains 5
12 / 16 = 0, remains 12 or C
197 ₍₁₀₎ = C5 ₍₁₆₎

305 octal number equal to C5 hexadecimal number
305 ₍₈₎ = C5 ₍₁₆₎

3. 5431 ₍₈₎ = ? ₍₁₆₎
octal to decimal
5431 = 1x8⁰ + 3x8¹ + 4x8² + 5x8³
5431 = 1 + 24 + 256 + 2560
5431 ₍₈₎ = 2841 ₍₁₀₎

decimal to hexadecimal
2841 / 16 = 177, remains 9
177 / 16 = 11, remains 1
11 / 16 = 0, remains 11 or B
2841 ₍₁₀₎ = B19 ₍₁₆₎

5431 octal number equal to B19 hexadecimal number
5431 ₍₈₎ = B19 ₍₁₆₎

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Octal numbers to binary numbers

Convert octal numbers to binary numbers
1. 45
2. 700
3. 2021

Completion:
1. 45 ₍₈₎ = ? ₍₂₎
* First, convert octal numbers to decimal numbers. Then, convert decimal numbers to binary numbers.

octal to decimal
45 = 5x8⁰ + 4x8¹
45 = 5 + 32
45 ₍₈₎ = 37 ₍₁₀₎

decimal to binary
37 / 2 = 18, remains 1
18 / 2 = 9, remains 0
9 / 2 = 4, remains 1
4 / 2 = 2, remains 0
2 / 2 = 1, remains 0
1 / 2 = 0, remains 1
37 ₍₁₀₎ = 100101 ₍₂₎

45 octal number equal to 100101 binary number
45 ₍₈₎ = 100101 ₍₂₎

2. 700 ₍₈₎ = ? ₍₂₎
octal to decimal
700 = 0x8⁰ + 0x8¹ + 7x8²
700 = 0 + 0 + 448
700 ₍₈₎ = 448 ₍₁₀₎

decimal to binary
448 / 2 = 224, remains 0
224 / 2 = 112, remains 0
112 / 2 = 56, remains 0
56 / 2 = 28, remains 0
28 / 2 = 14, remains 0
14 / 2 = 7, remains 0
7 / 2 = 3, remains 1
3 / 2 = 1, remains 1
1 / 2 = 0, remains 1
448 ₍₁₀₎ = 111000000 ₍₂₎

700 octal number equal to 111000000 binary number
700 ₍₈₎ = 111000000 ₍₂₎

3. 2021 ₍₈₎ = ? ₍₂₎
octal to decimal
2021 = 1x8⁰ + 2x8¹ + 0x8² + 2x8³
2021 = 1 + 16 + 0 + 1024
2021 ₍₈₎ = 1041 ₍₁₀₎

decimal to binary
1041 / 2 = 520, remains 1
520 / 2 = 260, remains 0
260 / 2 = 130, remains 0
130 / 2 = 65, remains 0
65 / 2 = 32, remains 1
32 / 2 = 16, remains 0
16 / 2 = 8, remains 0
8 / 2 = 4, remains 0
4 / 2 = 2, remains 0
2 / 2 = 1, remains 0
1 / 2 = 0, remains 1
1041 ₍₁₀₎ = 10000010001 ₍₂₎

2021 octal number equal to 10000010001 binary number
2021 ₍₈₎ = 10000010001 ₍₂₎

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