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Signed Binary Numbers Solved

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a.    Signed Magnitude – The range lies from 01111 to 11111 in binary number system which is the same as +15 to -15 in the decimal number system.

Below table shows each of the binary numbers and their decimal equivalent. Note that there are 2 representations for 0 (00000 and 10000)

Binary        Decimal
00000        0
00001        1
00010        2
00011        3
00100        4
00101        5
00110        6
00111        7
01000        8
01001        9
01010        10
01011        11
01100        12
01101        13
01110        14
01111        15
10000        0
10001        -1
10010        -2
10011        -3
10100        -4
10101        -5
10110        -6
10111        -7
11000        -8
11001        -9
11010        -10
11011        -11
11100        -12
11101        -13
11110        -14
11111        -15

b.    One’s Complement – The range lies from 01111 to 10000 in binary number system which is the same as +15 to -15 in the decimal number system.

Below table shows each of the binary numbers and their decimal equivalent. Note that there are two representations for the number 0 (00000 and 11111).

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