Convert the following binary numbers to decimal numbers. (Show your work) a. 110110 b. 100111 c. 101101

a. 110110 = 45

b. 100111=39

c. 101101=45

Explanation:

We can convert a binary number to a decimal number by multiplying the respective 1's and zeroes to the respective powers of 2.

for 110110

1x2⁵+1x2⁴+0x2³+1x2²+1x2¹+0x2⁰

=32+16+4+2

=54.

for 100111

1x2⁵+0x2⁴+0x2³+1x2²+1x2¹+1x2⁰

=32+4+2+1

=39

for 101101

1x2⁵+0x2⁴+1x2³+1x2²+0x2¹+1x2⁰

=32+8+4+1

=45