# 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)

Next→
←Prev

Share: