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Convert the following base 10 numbers to binary. Your answers must be expressed as 8 bit...

  1. Convert the following base 10 numbers to binary. Your answers must be expressed as 8 bit binary values:
    1. 7210
    2. 6310
    3. 12710
    4. 28110
    5. 35310

  1. Convert the following base 16 (Hexadecimal) numbers to base 10:
    1. FE16
    2. E916
    3. C216
    4. FB16
    5. D316
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Answer #1

(a) the value of the decimal increases the range which can be denoted at max in 8-bits, so following is the binary representation of the given decimal values.

(7210)10 = (0001110000101010)2

(6310)10 = (0001100010100110)2

(12710)10 = (0011000110100110)2

(28110)10 = (0110110111001110)2

(35310)10 = (1000100111101110)2

(b) for converting hexadecimal values to decimal values you have to multiply each digit with 16(place value) and sum up all the values.

(FE16)16 = (65046)10

(E916)16 = (59670)10

(C216)16 = (49686)10

(FB16)16 = (64278)10

(D316)16 = (54038)10

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