Question

the remainder and quotient of the binary division (101110) / (110) are ?

Answer 1

Hi Friend...the quotient is 111 and the remainder is 100...
I have given the working in the attachment for reference...

Hope it helps you ^_^

Answer 2

Answer:

Quotient = 111

Remainder = 100

Step-by-step explanation:

Given : Binary division $\frac{101110}{110}$

To find : The remainder and quotient of the binary division?

Solution :

One way to solve the binary division is converting into decimal system,

Number 101110 in the decimal system

$101110_2 = 46_{10}$

Number 110 in the decimal system

$110_2 = 6_{10}$

Now, Division of 46 by 6

We get,

$\frac{46}{6}=7.6666666666667$

Convert back into binary number

Result in binary form

$7.6666666666667_{10} = 111_2$

or by Long division method,

Dividend = 101110

Divisor =110

Quotient = 111

Remainder = 100