Question #197407

a. Perform binary addition on given numbers:  20 1/16 and 71/4 .  

b. Convert the following binary number into ASCII code and then into its equivalent decimal representation. 01001001010000010100110101011100 


1
Expert's answer
2021-05-25T13:05:32-0400

b.

binary to ASCII code:

01001001010000010100110101011100=49 41 4D 5C01001001010000010100110101011100=49\ 41\ 4D\ 5C (HEX)

ASCII code: IAM\


binary to decimal:

01001001010000010100110101011100=22+23+24+26+28+210+211+01001001010000010100110101011100=2^2+2^3+2^4+2^6+2^8+2^{10}+2^{11}+

+214+216+222+224+227+230=1,229,016,412+2^{14}+2^{16}+2^{22}+2^{24}+2^{27}+2^{30}=1,229,016,412


a.

20 1/16=20.0625=24+22+24=1010.000120\ 1/16=20.0625=2^4+2^2+2^{-4}=1010.0001

71/4=17.75=24+20+21+22=1001.1171/4=17.75=2^4+2^0+2^{-1}+2^{-2}=1001.11

1010.0001+1001.11=10011.11011010.0001+1001.11=10011.1101


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