Convert (150)10 into binary then convert the binary number to octal
Answers
Answered by
15
Step 1: Divide (150)10 successively by 2 until the quotient is 0:
150/2 = 75, remainder is 0
75/2 = 37, remainder is 1
37/2 = 18, remainder is 1
18/2 = 9, remainder is 0
9/2 = 4, remainder is 1
4/2 = 2, remainder is 0
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 10010110. This is the binary equivalent of decimal number 150 (Answer).
Conversion to other bases
Binary:
Quaternary:
Octal:
Decimal:
Hexadecimal:
Base 32:
Decimal, Binary, Hexa and Octal Chart Table
Dec
Hex
Oct
Bin
0
0
0
0
1
1
1
1
2
2
2
10
3
3
3
11
4
4
4
100
5
5
5
101
6
6
6
110
7
7
7
111
8
8
10
1000
9
9
11
1001
10
A
12
1010
11
B
13
1011
12
C
14
1100
13
D
15
1101
14
E
16
1110
15
F
17
1111
Dec
Hex
Oct
Bin
16
10
20
10000
17
11
21
10001
18
12
22
10010
19
13
23
10011
20
14
24
10100
21
15
25
10101
22
16
26
10110
23
17
27
10111
24
18
30
11000
25
19
31
11001
26
1A
32
11010
27
1B
33
11011
28
1C
34
11100
29
1D
35
11101
30
1E
36
11110
31
1F
37
11111
Dec
Hex
Oct
Bin
32
20
40
100000
33
21
41
100001
34
22
42
100010
35
23
43
100011
36
24
44
100100
37
25
45
100101
38
26
46
100110
39
27
47
100111
40
28
50
101000
41
29
51
101001
42
2A
52
101010
43
2B
53
101011
44
2C
54
101100
45
2D
55
101101
46
2E
56
101110
47
2F
57
101111
Dec
Hex
Oct
Bin
48
30
60
110000
49
31
61
110001
50
32
62
110010
51
33
63
110011
52
34
64
110100
53
35
65
110101
54
36
66
110110
55
37
67
110111
56
38
70
111000
57
39
71
111001
58
3A
72
111010
59
3B
73
111011
60
3C
74
111100
61
3D
75
111101
62
3E
76
111110
63
3F
77
111111
Dec
Hex
Oct
Bin
64
40
100
1000000
65
41
101
1000001
66
42
102
1000010
67
43
103
1000011
68
44
104
1000100
69
45
105
1000101
70
46
106
1000110
71
47
107
1000111
72
48
110
1001000
73
49
111
1001001
74
4A
112
1001010
75
4B
113
1001011
76
4C
114
1001100
77
4D
115
1001101
78
4E
116
1001110
79
4F
117
1001111
Dec
Hex
Oct
Bin
80
50
120
1010000
81
51
121
1010001
82
52
122
1010010
83
53
123
1010011
84
54
124
1010100
85
55
125
1010101
86
56
126
1010110
87
57
127
1010111
88
58
130
1011000
89
59
131
1011001
90
5A
132
1011010
91
5B
133
1011011
92
5C
134
1011100
93
5D
135
1011101
94
5E
136
1011110
95
5F
137
1011111
Dec
Hex
Oct
Bin
96
60
140
1100000
97
61
141
1100001
98
62
142
1100010
99
63
143
1100011
100
64
144
1100100
101
65
145
1100101
102
66
146
1100110
103
67
147
1100111
104
68
150
1101000
105
69
151
1101001
106
6A
152
1101010
107
6B
153
1101011
108
6C
154
1101100
109
6D
155
1101101
110
6E
156
1101110
111
6F
157
1101111
Dec
Hex
Oct
Bin
112
70
160
1110000
113
71
161
1110001
114
72
162
1110010
115
73
163
1110011
116
74
164
1110100
117
75
165
1110101
118
76
166
1110110
119
77
167
1110111
120
78
170
1111000
121
79
171
1111001
122
7A
172
1111010
123
7B
173
1111011
124
7C
174
1111100
125
7D
175
1111101
126
7E
176
1111110
127
7F
177
1111111
Dec
Hex
Oct
Bin
128
80
200
10000000
129
81
201
10000001
130
82
202
10000010
131
83
203
10000011
132
84
204
10000100
133
85
205
10000101
134
86
206
10000110
135
87
207
10000111
136
88
210
10001000
137
89
211
10001001
138
8A
212
10001010
139
8B
213
10001011
140
8C
214
10001100
141
8D
215
10001101
142
8E
216
10001110
143
8F
217
10001111
Dec
Hex
Oct
Bin
144
90
220
10010000
145
91
221
10010001
146
92
222
10010010
147
93
223
10010011
148
94
224
10010100
149
95
225
10010101
150
96
226
10010110
150/2 = 75, remainder is 0
75/2 = 37, remainder is 1
37/2 = 18, remainder is 1
18/2 = 9, remainder is 0
9/2 = 4, remainder is 1
4/2 = 2, remainder is 0
2/2 = 1, remainder is 0
1/2 = 0, remainder is 1
Step 2: Read from the bottom (MSB) to top (LSB) as 10010110. This is the binary equivalent of decimal number 150 (Answer).
Conversion to other bases
Binary:
Quaternary:
Octal:
Decimal:
Hexadecimal:
Base 32:
Decimal, Binary, Hexa and Octal Chart Table
Dec
Hex
Oct
Bin
0
0
0
0
1
1
1
1
2
2
2
10
3
3
3
11
4
4
4
100
5
5
5
101
6
6
6
110
7
7
7
111
8
8
10
1000
9
9
11
1001
10
A
12
1010
11
B
13
1011
12
C
14
1100
13
D
15
1101
14
E
16
1110
15
F
17
1111
Dec
Hex
Oct
Bin
16
10
20
10000
17
11
21
10001
18
12
22
10010
19
13
23
10011
20
14
24
10100
21
15
25
10101
22
16
26
10110
23
17
27
10111
24
18
30
11000
25
19
31
11001
26
1A
32
11010
27
1B
33
11011
28
1C
34
11100
29
1D
35
11101
30
1E
36
11110
31
1F
37
11111
Dec
Hex
Oct
Bin
32
20
40
100000
33
21
41
100001
34
22
42
100010
35
23
43
100011
36
24
44
100100
37
25
45
100101
38
26
46
100110
39
27
47
100111
40
28
50
101000
41
29
51
101001
42
2A
52
101010
43
2B
53
101011
44
2C
54
101100
45
2D
55
101101
46
2E
56
101110
47
2F
57
101111
Dec
Hex
Oct
Bin
48
30
60
110000
49
31
61
110001
50
32
62
110010
51
33
63
110011
52
34
64
110100
53
35
65
110101
54
36
66
110110
55
37
67
110111
56
38
70
111000
57
39
71
111001
58
3A
72
111010
59
3B
73
111011
60
3C
74
111100
61
3D
75
111101
62
3E
76
111110
63
3F
77
111111
Dec
Hex
Oct
Bin
64
40
100
1000000
65
41
101
1000001
66
42
102
1000010
67
43
103
1000011
68
44
104
1000100
69
45
105
1000101
70
46
106
1000110
71
47
107
1000111
72
48
110
1001000
73
49
111
1001001
74
4A
112
1001010
75
4B
113
1001011
76
4C
114
1001100
77
4D
115
1001101
78
4E
116
1001110
79
4F
117
1001111
Dec
Hex
Oct
Bin
80
50
120
1010000
81
51
121
1010001
82
52
122
1010010
83
53
123
1010011
84
54
124
1010100
85
55
125
1010101
86
56
126
1010110
87
57
127
1010111
88
58
130
1011000
89
59
131
1011001
90
5A
132
1011010
91
5B
133
1011011
92
5C
134
1011100
93
5D
135
1011101
94
5E
136
1011110
95
5F
137
1011111
Dec
Hex
Oct
Bin
96
60
140
1100000
97
61
141
1100001
98
62
142
1100010
99
63
143
1100011
100
64
144
1100100
101
65
145
1100101
102
66
146
1100110
103
67
147
1100111
104
68
150
1101000
105
69
151
1101001
106
6A
152
1101010
107
6B
153
1101011
108
6C
154
1101100
109
6D
155
1101101
110
6E
156
1101110
111
6F
157
1101111
Dec
Hex
Oct
Bin
112
70
160
1110000
113
71
161
1110001
114
72
162
1110010
115
73
163
1110011
116
74
164
1110100
117
75
165
1110101
118
76
166
1110110
119
77
167
1110111
120
78
170
1111000
121
79
171
1111001
122
7A
172
1111010
123
7B
173
1111011
124
7C
174
1111100
125
7D
175
1111101
126
7E
176
1111110
127
7F
177
1111111
Dec
Hex
Oct
Bin
128
80
200
10000000
129
81
201
10000001
130
82
202
10000010
131
83
203
10000011
132
84
204
10000100
133
85
205
10000101
134
86
206
10000110
135
87
207
10000111
136
88
210
10001000
137
89
211
10001001
138
8A
212
10001010
139
8B
213
10001011
140
8C
214
10001100
141
8D
215
10001101
142
8E
216
10001110
143
8F
217
10001111
Dec
Hex
Oct
Bin
144
90
220
10010000
145
91
221
10010001
146
92
222
10010010
147
93
223
10010011
148
94
224
10010100
149
95
225
10010101
150
96
226
10010110
Similar questions
Math,
7 months ago
Psychology,
7 months ago
Biology,
7 months ago
Science,
1 year ago
Math,
1 year ago