2.7. The following problems explore number conversions from signed and unsigned
ID: 3748207 • Letter: 2
Question
2.7. The following problems explore number conversions from signed and unsigned binary number to decimal numbers.
a.
1010 1101 0001 0000 0000 0000 0000 0010two
b.
1111 1111 1111 1111 1011 0011 0101 0011two
2.7.1 For the patterns above, what base 10 number does it represent, assuming that it is a two’s complement integer?
2.7.2 For the patterns above, what base 10 number does it represent, assuming that it is an unsigned integer?
2.7.3 For the patterns above, what hexadecimal number does it represent? The following problems explore number conversions from decimal to signed and unsigned binary numbers.
a.
2147483647ten
b.
1000ten
2.7.4 For the base ten numbers above, convert to 2’s complement binary.
2.7.5 For the base ten numbers above, convert to 2’s complement hexadecimal.
2.7.6 For the base ten numbers above, convert the negated values from the table to 2’s complement hexadecimal.
a.
1010 1101 0001 0000 0000 0000 0000 0010two
b.
1111 1111 1111 1111 1011 0011 0101 0011two
Explanation / Answer
Answer :
2.7.1.) For the patterns above, what base 10 number does it represent, assuming it is a two's complement integer?
a. -1391460350
b. -19630
2.7.2.) For the patterns above, what base 10 number does it represent, assuming that it is an unsigned integer?
a. 2903506946
b. 4294947667
2.7.3.) For the patterns above, what hexadecimal number does it represent
a. 0xAD100002
b. 0xFFFFB353
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