QUESTION IMAGE
Question
- what numbers would you subtract to get the answer of 112? (be sure to put a number in each blank. use 0 if there isnt a different number that should be put into the box.)(be sure to put a number in each blank. use 0 if there isnt a different number that should be put into the box.)
- how would you count to 72 in binary?
Step1: Define the unknown value
Let $x$ = number to subtract.
Step2: Set up subtraction equation
$120 - x = 112$
Step3: Solve for $x$
$x = 120 - 112$
$x = 8$
Step4: Fill the table blanks
Match the value to the missing power of 2 (8), use 0 for empty rows.
(for question 22):
Step1: Divide 72 by 2 repeatedly
$72 \div 2 = 36$, remainder $0$
$36 \div 2 = 18$, remainder $0$
$18 \div 2 = 9$, remainder $0$
$9 \div 2 = 4$, remainder $1$
$4 \div 2 = 2$, remainder $0$
$2 \div 2 = 1$, remainder $0$
$1 \div 2 = 0$, remainder $1$
Step2: Read remainders from last to first
Reverse the remainders: $1001000$
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| 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |
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