perform the conversation
(473)8= (?)2
Answers
473*8=1892*2
Mark me brainliest
Given data:
The octal number (473)₈
To find:
To convert the octal number into binary.
Solution:
The octal numeral system is the base-8 system, that uses the digits 0 to 7, while binary uses the bits 0 and 1.
The octal (0-7) to binary digit conversion sheet is:
Octal Binary
(0)₈ (000)₂
(1)₈ (001)₂
(2)₈ (010)₂
(3)₈ (011)₂
(4)₈ (100)₂
(5)₈ (101)₂
(6)₈ (110)₂
(7)₈ (111)₂
(473)₈ = (?)₂
Write the binary code for individual digit. As in:
(4)₈ = (100)₂
(7)₈ = (111)₂
(3)₈ = (011)₂
Concatenate them from top to bottom to get the result, as in:
(473)₈ = (100111011)₂
Method 2:
- To count the total number of digits 'n' in the given octal number.
- Product each term with 8ⁿ⁻ᵃ, where a starts from n-1 and ends at 0, keeps on decreasing by 1 from left to right.
- Once done, we will get the concatenation of digits, a decimal number.
- Now, we need to perform division operation by 2 on the resultant decimal's quotient and keep on storing remainders till the quotient becomes 0. Concatenate the remainders from bottom to top to get the binary number.
(473)₈ = ( (4x8³⁻¹) + (7x8³⁻²) + (3x8³⁻³) )₁₀
= ( (4 x 64) + (7 x 8) + (3 x 1) )₁₀
= (256+56+3)₁₀
= (315)₁₀
Decimal Number divided by 2 Quotient Remainder
315/2 157 1
157/2 78 1
78/2 39 0
39/2 19 1
19/2 9 1
9/2 4 1
4/2 2 0
2/2 1 0
1/2 0 1
Concatenate the remainders from bottom to top: 100111011
Therefore, (473)₈ = (100111011)₂
Learn more:
1. Convert (423.03125)10 to octal form.
https://brainly.in/question/16085543
2. In computer processing, __________ selects processes from the pool and loads them into memory for execution.
https://brainly.in/question/18807063