Question

Convert this binary number 1011000 into decimal number

Answer 1

Your Answer :-

Binary Number :- It is a language whose base is 2 . It consists of just 2 Digits 0 and 1 . It is a which is understood by the computer .

Decimal Number :- It is a language which is written by the Users .

Coming back to Question :-

Convert 1011000 to decimal number system .

⇒$1 *2^{6}+ 0*2^{5}+1*2^{4}+1*2^{3}+0*2^{2}+0*2^{1}+0*2^{0}$

⇒ 64 + 0 +16 +8 + 0 +0 +0

⇒ 88 .

Hence $\boxed{88}$is the Answer .

^_^ ^_^

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Answer 2

Given,

Binary Number :- 1011000

To change the following number in decimal is given by follwing pattern ,

= 1×2⁶ + 0×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 0×2¹ + 0×2⁰

= 64 + 0 + 16 + 8 + 0 + 0 + 0

= 88

Decimal conversion of 1011000 is 88

Verification:- Binary conversion of 88

Simply divide 88 by 2 again and again and note down remainder

88/2 = 44 +remaider= 0

44/2 = 22+ remainder = 0

22/2= 11 + remainder = 0

11/2 = 5 + remainder = 1

5/2 = 2 + remainder =1

2/2 = 1+remainder = 0

1/2 = 0 +remainder = 1

Note remainder form down to up

We get, 1011000, which is binary conversion of 88