# Binary numbers to octal numbers

Convert binary numbers to octal numbers

1. 11101

2. 1001111

3. 1010101010

Completion:

1. 11101

_{(2)}= ?

_{(8)}

** First, convert binary numbers to decimal numbers. Then, convert decimal numbers to octal numbers.*

binary to decimal

11101 = 1x2

^{0}+ 0x2

^{1}+ 1x2

^{2}+ 1x2

^{3}+ 1x2

^{4}

11101 = 1 + 0 + 4 + 8 + 16

11101

_{(2)}= 29

_{(10)}

decimal to octal

29 / 8 = 3, remains 5

3 / 8 = 0, remains 3

29

_{(10)}= 35

_{(8)}

11101 binary number equal to 35 octal number

11101

_{(2)}= 35

_{(8)}

2. 1001111

_{(2)}= ?

_{(8)}

binary to decimal

1001111 = 1x2

^{0}+ 1x2

^{1}+ 1x2

^{2}+ 1x2

^{3}+ 0x2

^{4}+ 0x2

^{5}+ 1x2

^{6}

1001111 = 1 + 2 + 4 + 8 + 0 + 0 + 64

1001111

_{(2)}= 79

_{(10)}

decimal to octal

79 / 8 = 9, remains 7

9 / 8 = 1, remains 1

1 / 8 = 0, remains 1

79

_{(10)}= 117

_{(8)}

1001111 binary number equal to 117 octal number

1001111

_{(2)}= 117

_{(8)}

3. 1010101010

_{(2)}= ?

_{(8)}

binary to decimal

1010101010 = 0x2

^{0}+ 1x2

^{1}+ 0x2

^{2}+ 1x2

^{3}+ 0x2

^{4}+ 1x2

^{5}+ 0x2

^{6}+ 1x2

^{7}+ 0x2

^{8}+ 1x2

^{9}

1010101010 = 0 + 2 + 0 + 8 + 0 + 32 + 0 + 128 + 0 + 512

1010101010

_{(2)}= 682

_{(10)}

decimal to octal

682 / 8 = 85, remains 2

85 / 8 = 10, remains 5

10 / 8 = 1, remains 2

1 / 8 = 0, remains 1

682

_{(10)}= 1252

_{(8)}

1010101010 binary number equal to 1252 octal number

1010101010

_{(2)}= 1252

_{(8)}

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