Question

Represent 60 in binary using 8-bit as an un-signed integer.

Then represent 60 in binary using 8-bit signed magnitude.

show work

Answer 1

60
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Since this is a positive number. we can directly convert this into binary
Divide 60 successively by 2 until the quotient is 0
60/2 = 30, remainder is 0
30/2 = 15, remainder is 0
15/2 = 7, remainder is 1
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 111100
Adding 2 zero(s) on left hand side of this number to make this of length 8
So, 60 in normal binary format is 00111100
Answer:
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un-signed integer:  00111100
signed magnitude:   00111100