3 - What decimal number does the bit pattern 11001100 represent
if it is a:
• [1 pts] unsigned integer?
• [1 pts] sign-magnitude integer?
• [1 pts] two's complement integer?
4 - What decimal number does the bit pattern 00110011 represent if
it is a:
• [1 pts] unsigned integer?
• [1 pts] sign-magnitude integer?
• [1 pts] two's complement integer?
If you could show work that would be helpful as I have to do that to get credit. Thanks.
3 - bit pattern 11001100
11001100(2) = (1 × 27 + 1 × 26 + 0 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 0 × 21 + 0 × 20)(10)
11001100(2) = (128 + 64 + 0 + 0 + 8 + 4 + 0 + 0)(10)
11001100(2) = (128 + 64 + 8 + 4)(10)
11001100(2) = 204(10)
In a signed binary, first bit (the leftmost) is
reserved for the sign, 1 = negative, 0 = positive.
This bit does not count when calculating the absolute value.
1001100(2) = (1 × 26 + 0 × 25 + 0 × 24 + 1 × 23 + 1 × 22 + 0 × 21 + 0 × 20)(10)
1001100(2) = (64 + 0 + 0 + 8 + 4 + 0 + 0)(10)
1001100(2)= (64 + 8 + 4)(10)
1001100(2)= 76(10)
Adjust the sign of the integer number by the first digit (leftmost) of the signed binary.
11001100(2) = -76(10)
In a signed binary two's complement, first bit (the
leftmost) indicates the sign,
1 = negative, 0 = positive.
11001100 is the binary representation of a negative integer, on 8 bits.
Run this step only if the number is negative
Subtract 1 from the binary initial number:
11001100 - 1 = 11001011
Flip all the bits in the signed binary one's complement representation (reverse the digits) - replace the bits set on 1 with 0s and the bits on 0 with 1s:
!(1100 1011) = 0011 0100
00110100(2) = (0 × 27 + 0 × 26 + 1 × 25 + 1 × 24 + 0 × 23 + 1 × 22 + 0 × 21 + 0 × 20)(10)
00110100(2) = (0 + 0 + 32 + 16 + 0 + 4 + 0 + 0)(10)
00110100(2) = (32 + 16 + 4)(10)
00110100(2) = 52(10)
Adjust the sign of the integer number by the first digit (leftmost) of the signed binary.
00110100(2) = -52(10)
4 - bit pattern 00110011
00110011(2) = (1 × 25 + 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 1 × 20)(10)
00110011(2) = (32 + 16 + 0 + 0 + 2 + 1)(10)
00110011(2) = (32 + 16 + 2 + 1)(10)
00110011(2)= 51(10)
In a signed binary two's complement, first bit (the leftmost)
indicates the sign,
1 = negative, 0 = positive.
00110011 is the binary representation of a positive integer, on 8 bits.
0110011(2) = (1 × 25 + 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 1 × 20)(10)
0110011(2) = (32 + 16 + 0 + 0 + 2 + 1)(10)
0110011(2) = (32 + 16 + 2 + 1)(10)
0110011(2)= 51(10)
Adjust the sign of the integer number by the first digit (leftmost) of the signed binary.
00110011(2) = 51(10)
In a signed binary two's complement, first bit
(the leftmost) indicates the sign,
1 = negative, 0 = positive.
00110011 is the binary representation of a positive integer, on 8 bits.
00110011(2) = (1 × 25 + 1 × 24 + 0 × 23 + 0 × 22 + 1 × 21 + 1 × 20)(10)
00110011(2) = (32 + 16 + 0 + 0 + 2 + 1)(10)
00110011(2) = (32 + 16 + 2 + 1)(10)
00110011(2)= 51(10)
3 - What decimal number does the bit pattern 11001100 represent if it is a: •...
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question 1 part 2 and 3 thank you
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