## 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.
OctalDecimalOctalDecimal
116351
226452
336553
446654
556755
667056
777157
1087258
1197359
12107460
13117561
14127662
15137763
161410064
171510165
201610266
211710367
221810468
231910569
242010670
252110771
262211072
272311173
302411274
312511375
322611476
332711577
342811678
352911779
363012080
373112181
403212282
413312383
423412484
433512585
443612686
453712787
463813088
473913189
504013290
514113391
524213492
534313593
544413694
554513795
564614096
574714197
604814298
614914399
6250144100

## 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 DecimalBinaryDecimal
1111001151
10211010052
11311010153
100411011054
101511011155
110611100056
111711100157
1000811101058
1001911101159
10101011110060
10111111110161
11001211111062
11011311111163
111014100000064
111115100000165
1000016100001066
1000117100001167
1001018100010068
1001119100010169
1010020100011070
1010121100011171
1011022100100072
1011123100100173
1100024100101074
1100125100101175
1101026100110076
1101127100110177
1110028100111078
1110129100111179
1111030101000080
1111131101000181
10000032101001082
10000133101001183
10001034101010084
10001135101010185
10010036101011086
10010137101011187
10011038101100088
10011139101100189
10100040101101090
10100141101101191
10101042101110092
10101143101110193
10110044101111094
10110145101111195
10111046110000096
10111147110000197
11000048110001098
11000149110001199
110010501100100100

## Hexadecimal numbers to octal numbers

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

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

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)
ADE = Ex160 + Dx161 + Ax162
ADE = 14x160 + 13x161 + 10x162
ADE = 14 + 208 + 2560

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)

3. 8C1F (16) = ? (8)
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)

## Hexadecimal numbers to binary numbers

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

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

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)
DAD = Dx160 + Ax161 + Ax162
DAD = 13x160 + 10x161 + 13x162
DAD = 13 + 160 + 3328

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)

3. FE01 (16) = ? (2)
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)

## 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)

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)

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)

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)

## 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)