Question

convert the following
1) (122)¹⁰ into (?)²
2) (101011)² into (?)⁸

perform the following
1) 1101+10100-101
2) 11010÷110
​

Answer 1

Answer: 1) (111100)base2

2) (53) base 8

1. 101001

2.100

Explanation:

Answer 2

Given : 122₁₀  , (1111010 )₂

To Find :   122₁₀ convert in binary

(1111010 )₂  convert in octal

Solution:

122₁₀

       122

   2    61    0

    2    30    1

    2     15    0

    2      7      1

     2      3      1

      2      1       1

       2      0      1

Read from below

(1111010 )₂ = 122

(101011)₂  = 1 * 2⁵  + 0 * 2⁴ + 1 * 2³ + 0 * 2²  + 1 * 2¹  + 1 * 2⁰

= 32 + 0  + 8 + 0  + 2  +  1

= (43)₁₀

    43

 8  5    3

  8   0   5

(53)₈

(101011)₂  =  (53)₈

1101+10100-101

= 13 + 20  - 5

= 28

=  (11100 )₂

11010÷110

= 26  ÷ 5

= 5.2

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