Question

Convert 58.75  23.5 to binary form and then perform

operation. ​

Answer 1

Explanation:

Given:

58.75/23.5

To find: Convert 58.75/23.5 to binary form and then perform operation.

Solution:

Step 1: Convert 58.75 into binary

a) Convert integer part into binary

2) 58(0

2)29(1

2)14(0

2)7(1

2)3(1

)1(

Thus,

Binary of 58 is (111010)

b) Convert 0.75 into binary

0.75×2=1.5; take

0.5×2=1.0;take 1

Binary of 0.75 is (.11)

Thus,

58.75=(111010.11)

Step 2: Convert 23.5 into binary

a) Convert integer part into binary

2) 23(1

2)11(1

2)5(1

2)2(0

)1(

Thus,

Binary of 23 is (10111)

b) Convert 0.5 into decimal

0.5×2=1.0;take 1

Binary of 0.5 is (.1)

Thus,

23.5=(10111.1)

Step 3: Perform division

First remove decimal points

$101111)11101011(101 \\ 101111 \\ ( - ) \\ - - - - - \\ 101111\\ 101111 \\ ( - ) \\ - - - - - \\ 000$

Now place decimal point before one digits

Quotient of division is 10.1

Final answer:

111010.11/10111.1=10.1 in binary

58.75/23.5=2.5 in decimal

Hope it helps you.

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