Computer Science

Convert octal number into decimal number.
(a) 75
(b) 321
(c) 142
(d) 205

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(a) 75

Octal No	Power	Value	Result
5 (LSB)	8⁰	1	5x1=5
7 (MSB)	8¹	8	7x8=56

Equivalent decimal number = 5 + 56 = 61

Therefore, (75)₈ = (61)₁₀.

(b) 321

Octal No	Power	Value	Result
1 (LSB)	8⁰	1	1x1=1
2	8¹	8	2x8=16
3 (MSB)	8²	64	3x64=192

Equivalent decimal number = 1 + 16 + 192 = 209

Therefore, (321)₈ = (209)₁₀.

Octal No	Power	Value	Result
2 (LSB)	8⁰	1	2x1=2
4	8¹	8	4x8=32
1 (MSB)	8²	64	1x64=64

Equivalent decimal number = 2 + 32 + 64 = 98

Therefore, (142)₈ = (98)₁₀.

(d) 205

Octal No	Power	Value	Result
5 (LSB)	8⁰	1	5x1=5
0	8¹	8	0x8=56
2 (MSB)	8²	64	2x64=128

Equivalent decimal number = 5 + 128 = 133

Therefore, (205)₈ = (133)₁₀.

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