Computer Science

Write binary equivalent of the following octal numbers:
(a) 2306
(b) 5610
(c) 742
(d) 65.203

Number System

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Answer

(a) 2306

Octal Number	Binary Equivalent
6	110
0	000
3	011
2	010

Therefore, (2306)₈ = ( $\bold{\underlinesegment{010}}\medspace\bold{\underlinesegment{011}}\medspace\bold{\underlinesegment{000}}\medspace\bold{\underlinesegment{110}}$ )₂.

(b) 5610

Octal Number	Binary Equivalent
0	000
1	001
6	110
5	101

Therefore, (5610)₈ = ( $\bold{\underlinesegment{101}}\medspace\bold{\underlinesegment{110}}\medspace\bold{\underlinesegment{001}}\medspace\bold{\underlinesegment{000}}$ )₂.

Octal Number	Binary Equivalent
2	010
4	100
7	111

Therefore, (742)₈ = ( $\bold{\underlinesegment{111}}\medspace\bold{\underlinesegment{100}}\medspace\bold{\underlinesegment{010}}$ )₂.

(d) 65.203

Octal Number	Binary Equivalent
3	011
0	000
2	010
5	101
6	110

Therefore, (65.203)₈ = ( $\bold{\underlinesegment{110}}\medspace\bold{\underlinesegment{101}}.\medspace\bold{\underlinesegment{010}}\medspace\bold{\underlinesegment{000}}\medspace\bold{\underlinesegment{011}}$ )₂.

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Computer Science

Write binary equivalent of the following octal numbers:
(a) 2306
(b) 5610
(c) 742
(d) 65.203

Number System

Answer

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Computer Science

Write binary equivalent of the following octal numbers:(a) 2306(b) 5610(c) 742(d) 65.203

Number System

Answer

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Write binary equivalent of the following octal numbers:
(a) 2306
(b) 5610
(c) 742
(d) 65.203

Draw a logic circuit of the following Boolean expression:
(i) (A. $\overline{B}$ ) + (C + $\overline{D}$ ) + (B. $\overline{D}$ )
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Write binary representation of the following hexadecimal numbers:
(a) 4026
(b) BCA1
(c) 98E
(d) 132.45

Perform the following conversions from decimal number to other number systems:
(a) (54)₁₀ = (?)₂
(b) (120)₁₀ = (?)₂
(c) (76)₁₀ = (?)₈
(d) (889)₁₀ = (?)₈
(e) (789)₁₀ = (?)₁₆
(f) (108)₁₀ = (?)₁₆