ITN 05.01 Binary-to-Decimal Conversion

Convert 0000 0001 to decimal.

(a)  

Answer explanation

0001 in binary means $\left(2^3\cdot0\right)+\left(2^2\cdot0\right)+\left(2^1\cdot0\right)+\left(2^0\cdot1\right)$
$=0+0+0+1=1$

Convert 0000 0010 to decimal.

(a)  

Answer explanation

0010 in binary means $\left(2^3\cdot0\right)+\left(2^2\cdot0\right)+\left(2^1\cdot1\right)+\left(2^0\cdot0\right)$ 
 $=0+0+2+0=2$  

Convert 0000 0011 to decimal.

(a)  

Answer explanation

0011 in binary means $\left(2^3\cdot0\right)+\left(2^2\cdot0\right)+\left(2^1\cdot1\right)+\left(2^0\cdot0\right)$ 

Convert 0000 0100 to decimal.

(a)  

Answer explanation

10 in binary means $\left(2^2\cdot1\right)+\left(2^1\cdot0\right)+\left(2^0\cdot0\right)=4+0+0=4$ 

Convert 0000 0101 to decimal.

(a)  

Answer explanation

100 in binary means  $\left(2^2\cdot1\right)+\left(2^1\cdot0\right)+\left(2^0\cdot1\right)$  

 $=4+0+1=5$  

Convert 0000 0110 to decimal.

(a)  

Answer explanation

100 in binary means  $\left(2^2\cdot1\right)+\left(2^1\cdot1\right)+\left(2^0\cdot0\right)$  

 $=4+2+0=6$  

Convert 0000 0111 to decimal.

(a)  

Answer explanation

100 in binary means  $\left(2^2\cdot1\right)+\left(2^1\cdot1\right)+\left(2^0\cdot1\right)$  

 $=4+2+1=7$  

Convert 0000 1000 to decimal.

(a)  

Answer explanation

100 in binary means  $\left(2^3\cdot1\right)+\left(2^2\cdot0\right)+\left(2^1\cdot0\right)+\left(2^0\cdot0\right)$  

 $=8+0+0+0=8$  

Convert 0000 1001 to decimal.

(a)  

Answer explanation

100 in binary means  $\left(2^3\cdot1\right)+\left(2^2\cdot0\right)+\left(2^1\cdot0\right)+\left(2^0\cdot1\right)$  

 $=8+0+0+1=9$  

Convert 0000 1010 to decimal.

(a)  

Answer explanation

100 in binary means  $\left(2^3\cdot1\right)+\left(2^2\cdot0\right)+\left(2^1\cdot1\right)+\left(2^0\cdot0\right)$  

 $=8+0+2+0=10$