# Question 2.6: Convert an octal number (6407.2)8 into its corresponding dec......

Convert an octal number $(6407.2)_{8}$ into its corresponding decimal number.

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$\overset{(6}{\underset{110}{\downarrow }} \overset{4}{\underset{100}{\downarrow }} \overset{0}{\underset{000}{\downarrow }} \overset{7 .}{\underset{111 .}{\downarrow }} \overset{ 2)_{8}}{\underset{010}{\downarrow }}$

Thus, $(6407.2)_{8} = (110100000111.010)_{2}$.

Question: 2.2

## Convert a decimal number (342.6875)10 into its equivalent binary, octal, and hexadecimal numbers. ...

The integer part is: (342)_{10}=(101010110)...
Question: 2.9

## Covert the following the 8421 BCD codes to decimal numbers. (a) 10010100 (b) 000110000110 ...

\begin{matrix} 8421 \, BCD & (a) & ...
Question: 2.8

## Covert the following decimal numbers to the 8421 BCD codes and the excess-3 codes, respectively. (a) 15    (b) 276 ...

\begin{matrix} \text{Decimal} & (a) &am...
Question: 2.7

## Suppose X = (1100)2 and Y = (0101)2, calculate X + Y, X − Y, X × Y, and X ÷ Y. ...

\begin{matrix} & & \,\,\,\, 1100 &a...
Question: 2.5

## Convert a binary number (1111010010.01)2 into its corresponding octal number. ...

\begin{array}{l l l l l l l l l l}{(001}&am...
Question: 2.4

## Convert a hexadecimal number (4FB.CA)16 into its corresponding binary number. ...

\begin{array}{l l l l l l l l l l}{\,\,\,\,...
Question: 2.3

## Convert a binary number (10110100111100.01001)2 into its corresponding hexadecimal number. ...

\begin{array}{l l l l l l l l l l}{(0010}&a...
(1011.01)_{2}=1\times2^{3}+0\times2^{2}+1\t...