Question

on converting the following base-2 numeral in base ten,1101101,we get​

Answer 1

Answer:

( 1101101 )₂ = ( 109 )₁₀

Explanation:  

Exponents:           2⁶     2⁵     2⁴     2³   2²     2¹      2⁰

Bits                         1       1        0      1        1       0       1

Value            (1*2⁶) (1*2⁵) (1*2⁴) (1*2³) (1*2²) (1*2¹) (1*2°)

value of ( 1101101 )₂ = ( 109 )₁₀      

step1:

Write down the number.

step2:

Starting with the LSB, multiply the digit by the value of the place holder.

step3:  

Continue doing this until you reach the MSB.

step4:

Add the results together.

step5:

Divide the number by 2.

Answer 2

Answer:

We get the answer as 109

Explanation:

For solving this question first write down the given binary number- 1101101.

Multiply each number of binary by the equivalent power two.

$1 \times 2^{6}+1 \times 2^{5}+0 \times 2^{4}+1 \times 2^{3}+1 \times 2^{2}+0 \times 2^{1}+1 \times 2^{0}$

After solving this power we will get, 1×64 + 1× 32 + 0×16 + 1× 8 + 1× 4 + 0 ×2 + 1×1  

= 64 +32 + 0 + 8 + 4 + 0 + 1 = 109  

Therefore 109 decimal