Question 9 of 17intermediate🔧 ApplyNumerical4 marks
Write binary equivalent of the following octal numbers.
(i)
2306
Answer
(2306)₈ = (010011000110)₂
(ii)
5610
Answer
(5610)₈ = (101110001000)₂
(iii)
742
Answer
(742)₈ = (111100010)₂
(iv)
65.203
Answer
(65.203)₈ = (110101.010000011)₂
Explanation
The textbook states that each octal digit is an encoding for a 3-digit binary number. To convert octal to binary, we replace each octal digit by a group of three binary digits. The 3-bit binary equivalents are: 0=000, 1=001, 2=010, 3=011, 4=100, 5=101, 6=110, 7=111.